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Finding the Third Proportional to 102,522 and 220,372

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Solution

The third proportional to 102,522 and 220,372 is: 473,691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,522 : 220,372 = 220,372 : x
  2. Step 2: Convert to fraction form
    102,522/220,372 = 220,372/x
  3. Step 3: Cross multiply
    102,522x = 220,372 × 220,372
  4. Step 4: Simplify right side
    102,522x = 48,563,818,384
  5. Step 5: Solve for x
    x = 48,563,818,384/102,522
  6. Step 6: Final answer
    x = 473,691.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.