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Finding the Third Proportional to 232.38 and 355.94

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Solution

The third proportional to 232.38 and 355.94 is: 545.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.38 : 355.94 = 355.94 : x
  2. Step 2: Convert to fraction form
    232.38/355.94 = 355.94/x
  3. Step 3: Cross multiply
    232.38x = 355.94 × 355.94
  4. Step 4: Simplify right side
    232.38x = 126,691.50
  5. Step 5: Solve for x
    x = 126,691.50/232.38
  6. Step 6: Final answer
    x = 545.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.