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Finding the Third Proportional to 102.38 and 220.92

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Solution

The third proportional to 102.38 and 220.92 is: 476.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.38 : 220.92 = 220.92 : x
  2. Step 2: Convert to fraction form
    102.38/220.92 = 220.92/x
  3. Step 3: Cross multiply
    102.38x = 220.92 × 220.92
  4. Step 4: Simplify right side
    102.38x = 48,806.47
  5. Step 5: Solve for x
    x = 48,806.47/102.38
  6. Step 6: Final answer
    x = 476.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.