
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given that $\triangle XYZ$ exists, and $P$ divides side $XZ$ in the ratio $2:3$, while $K$ is the midpoint of $YP$, and $Q$ is the point of intersection of $XK$ and $YZ$, determine the ratio in which $Q$ divides side $YZ$.

Present the answer in LaTex format: \boxed{Your answer}
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