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Finding the Third Proportional to 102,524 and 220,376

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Solution

The third proportional to 102,524 and 220,376 is: 473,699.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,524 : 220,376 = 220,376 : x
  2. Step 2: Convert to fraction form
    102,524/220,376 = 220,376/x
  3. Step 3: Cross multiply
    102,524x = 220,376 × 220,376
  4. Step 4: Simplify right side
    102,524x = 48,565,581,376
  5. Step 5: Solve for x
    x = 48,565,581,376/102,524
  6. Step 6: Final answer
    x = 473,699.63

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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.