Reddit mentions of Hosa CRA-201 Dual RCA to Dual RCA Stereo Interconnect, 1 Meter

That particular TV seems to only be equipped with an optical digital audio output.

In which case, a setup would consist of the following:

1. TV connected via TOSlink cable connected to a simple digital to analog converter ($28)
   
2. DAC is connected to the amplifier you were suggested above via a standard RCA cable ($5.45)
   
3. … to either one of the amps you were suggested earlier
   
4. On the speaker front, you basically won't need anything more complicated than lamp cord from your nearest radio shack. Wiring is uncomplicated: Just make sure that you connect "black to black" and "red to red" for each speaker
   
5. As for the speakers you were suggested, among the two, the Pioneer is probably the better sounding one, but later this month, Micca is releasing a revised version named the MB42X, retailing for $80, that are supposedly much better than the old model. Review and measurements here - while I would've liked to see more reviews, it's definitely not looking bad for that low price.
   
   Also: If my explanation above looks complicated - I'm fairly certain that once you have this connected, you'd think that it sounds better than even a $1000 soundbar, all for a price of less than $200.

Just use a Dual RCA Male to Dual RCA Male cable on the Line Input of your speaker.

http://www.amazon.com/gp/aw/d/B000068O0U/ref=mp_s_a_1_4?qid=1427190152&sr=8-4&pi=AC_SX110_SY165_QL70&keywords=dual+rca+cable&dpPl=1&dpID=31FNBCdt0-L&ref=plSrch

You might want to try replacing your RCA cables -- sounds simple, but I had a terrible buzz at a specific frequency when I used the cables that came with my record player and phono preamp.

I replaced them all with Hosa RCA cables (e.g. these: http://amzn.to/1yQStBl), and the buzz instantly went away.

You can use a y-splitter to the inputs of the LSR-305 and the sub at the same time. Don't bother using a balanced XLR or TRS cable fro this as the RCA will short one of the balanced sides to ground.

What are you using as your source? If it's an RCA source, then these splitters with this cable would work. Then you just need an RCA cable like this to connect your sub to the splitter.