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Finding the Third Proportional to 129,437 and 276,870

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Solution

The third proportional to 129,437 and 276,870 is: 592,234.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,437 : 276,870 = 276,870 : x
  2. Step 2: Convert to fraction form
    129,437/276,870 = 276,870/x
  3. Step 3: Cross multiply
    129,437x = 276,870 × 276,870
  4. Step 4: Simplify right side
    129,437x = 76,656,996,900
  5. Step 5: Solve for x
    x = 76,656,996,900/129,437
  6. Step 6: Final answer
    x = 592,234.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.