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Finding the Third Proportional to 123,218 and 250,902

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Solution

The third proportional to 123,218 and 250,902 is: 510,897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,218 : 250,902 = 250,902 : x
  2. Step 2: Convert to fraction form
    123,218/250,902 = 250,902/x
  3. Step 3: Cross multiply
    123,218x = 250,902 × 250,902
  4. Step 4: Simplify right side
    123,218x = 62,951,813,604
  5. Step 5: Solve for x
    x = 62,951,813,604/123,218
  6. Step 6: Final answer
    x = 510,897.87

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.