For the system of Figure 2.67, what should the value of \(k_{3}\) be if \(k_{1}=2 k_{2}=3 k_{3}\), for a period of free vibration of \(400 \mathrm{~ms}\) for \(m=2.5 \mathrm{~kg}\) ?

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k k, 000 m 60000 009 kz Figure 2.67: Mass connected to ground through three springs.