in finkelstein reaction how is the precipitate formed forwards the reaction according to le chat leirs principle

Finkelstein reaction is a bimolecular nucleophilic substitution reaction in which one halogen is replaced by another.
Example: CH₃CH₂Br_(acetone) + NaI_(acetone) $\rightleftharpoons$ CH_​3CH₂I_(acetone) + NaBr_(s)

The reaction is in an equilibrium. NaBr formed is a solid or precipitate which can be moved out as a result the equilibrium will tends to counteract the effect of the applied changes and a new equilibrium is achieved (Le- Chatelier's principle). Hence reactant will react more to make more solid which increases the rate of forward reaction.
Hence, the solid formed increases the rate of forward reaction.