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Finding the Third Proportional to 172.92 and 365.37

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Solution

The third proportional to 172.92 and 365.37 is: 772.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.92 : 365.37 = 365.37 : x
  2. Step 2: Convert to fraction form
    172.92/365.37 = 365.37/x
  3. Step 3: Cross multiply
    172.92x = 365.37 × 365.37
  4. Step 4: Simplify right side
    172.92x = 133,495.32
  5. Step 5: Solve for x
    x = 133,495.32/172.92
  6. Step 6: Final answer
    x = 772.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.