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Finding the Third Proportional to 232.92 and 363.14

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Solution

The third proportional to 232.92 and 363.14 is: 566.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.92 : 363.14 = 363.14 : x
  2. Step 2: Convert to fraction form
    232.92/363.14 = 363.14/x
  3. Step 3: Cross multiply
    232.92x = 363.14 × 363.14
  4. Step 4: Simplify right side
    232.92x = 131,871.11
  5. Step 5: Solve for x
    x = 131,871.11/232.92
  6. Step 6: Final answer
    x = 566.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.