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Finding the Third Proportional to 129,234 and 273,812

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Solution

The third proportional to 129,234 and 273,812 is: 580,133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,234 : 273,812 = 273,812 : x
  2. Step 2: Convert to fraction form
    129,234/273,812 = 273,812/x
  3. Step 3: Cross multiply
    129,234x = 273,812 × 273,812
  4. Step 4: Simplify right side
    129,234x = 74,973,011,344
  5. Step 5: Solve for x
    x = 74,973,011,344/129,234
  6. Step 6: Final answer
    x = 580,133.80

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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.