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Finding the Third Proportional to 129,393 and 281,567

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Solution

The third proportional to 129,393 and 281,567 is: 612,706.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,393 : 281,567 = 281,567 : x
  2. Step 2: Convert to fraction form
    129,393/281,567 = 281,567/x
  3. Step 3: Cross multiply
    129,393x = 281,567 × 281,567
  4. Step 4: Simplify right side
    129,393x = 79,279,975,489
  5. Step 5: Solve for x
    x = 79,279,975,489/129,393
  6. Step 6: Final answer
    x = 612,706.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.