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Finding the Third Proportional to 123,241 and 252,320

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Solution

The third proportional to 123,241 and 252,320 is: 516,592.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,241 : 252,320 = 252,320 : x
  2. Step 2: Convert to fraction form
    123,241/252,320 = 252,320/x
  3. Step 3: Cross multiply
    123,241x = 252,320 × 252,320
  4. Step 4: Simplify right side
    123,241x = 63,665,382,400
  5. Step 5: Solve for x
    x = 63,665,382,400/123,241
  6. Step 6: Final answer
    x = 516,592.55

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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.