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Finding the Third Proportional to 252,947 and 381,081

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Solution

The third proportional to 252,947 and 381,081 is: 574,123.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,947 : 381,081 = 381,081 : x
  2. Step 2: Convert to fraction form
    252,947/381,081 = 381,081/x
  3. Step 3: Cross multiply
    252,947x = 381,081 × 381,081
  4. Step 4: Simplify right side
    252,947x = 145,222,728,561
  5. Step 5: Solve for x
    x = 145,222,728,561/252,947
  6. Step 6: Final answer
    x = 574,123.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.