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Finding the Third Proportional to 123,227 and 252,282

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Solution

The third proportional to 123,227 and 252,282 is: 516,495.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,227 : 252,282 = 252,282 : x
  2. Step 2: Convert to fraction form
    123,227/252,282 = 252,282/x
  3. Step 3: Cross multiply
    123,227x = 252,282 × 252,282
  4. Step 4: Simplify right side
    123,227x = 63,646,207,524
  5. Step 5: Solve for x
    x = 63,646,207,524/123,227
  6. Step 6: Final answer
    x = 516,495.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.