We must first make sure that the chemical equation is balanced.
3KOH(aq) + H3PO4(aq) ==> K3PO4(aq) + 3H2O(l)
It is.
Next, let's interpret that equation. It tells us that one mole of K3PO4 will be produced from three moles of KOH. Therefore, we need to first figure out how many moles of KOH we actually have in our current chemical reaction.
moles KOH = 63.3 g KOH x 1 mol KOH / 56.1 g KOH = 1.128 moles KOH present
Third, we figure out how many moles of K3PO4 we will produce in this reaction.
1.128 mol KOH x 1 mol K3PO4 / 3 moles KOH = 0.376 moles K3PO4 produced
Let's round that to three significant figures: 0.38 mol K3PO4
And we're done!