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Finding the Third Proportional to 123,274 and 252,374

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Solution

The third proportional to 123,274 and 252,374 is: 516,675.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,274 : 252,374 = 252,374 : x
  2. Step 2: Convert to fraction form
    123,274/252,374 = 252,374/x
  3. Step 3: Cross multiply
    123,274x = 252,374 × 252,374
  4. Step 4: Simplify right side
    123,274x = 63,692,635,876
  5. Step 5: Solve for x
    x = 63,692,635,876/123,274
  6. Step 6: Final answer
    x = 516,675.34

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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.