What kind of pickups are on your Squier guitar? Are they Single-coil pickups?

The Ibanez you just got is equipped with humbucker pickups in the bridge and neck positions and a single-coil pickup in the middle. Your humbuckers produce a different tone than a single-coil pickup doesin that it usually produces a fuller warmer sounds with more bass and less of the bell-like twang. To make you guitar sound similar to how your Squier sounds through the amp, you will need to tweak the EQ on the amp. Start out by raising the treble a bit and lowering the bass.

But remember that you are using a different guitar now that sounds different than your original, so you will need to keep that in mind when setting up your sound.

Regards,

Line6Hugo