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Finding the Third Proportional to 119,597 and 253,771

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Solution

The third proportional to 119,597 and 253,771 is: 538,472.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,597 : 253,771 = 253,771 : x
  2. Step 2: Convert to fraction form
    119,597/253,771 = 253,771/x
  3. Step 3: Cross multiply
    119,597x = 253,771 × 253,771
  4. Step 4: Simplify right side
    119,597x = 64,399,720,441
  5. Step 5: Solve for x
    x = 64,399,720,441/119,597
  6. Step 6: Final answer
    x = 538,472.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.