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Finding the Third Proportional to 129,170 and 278,724

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Solution

The third proportional to 129,170 and 278,724 is: 601,432.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,170 : 278,724 = 278,724 : x
  2. Step 2: Convert to fraction form
    129,170/278,724 = 278,724/x
  3. Step 3: Cross multiply
    129,170x = 278,724 × 278,724
  4. Step 4: Simplify right side
    129,170x = 77,687,068,176
  5. Step 5: Solve for x
    x = 77,687,068,176/129,170
  6. Step 6: Final answer
    x = 601,432.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.