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Finding the Third Proportional to 129,400 and 278,672

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Solution

The third proportional to 129,400 and 278,672 is: 600,139.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,400 : 278,672 = 278,672 : x
  2. Step 2: Convert to fraction form
    129,400/278,672 = 278,672/x
  3. Step 3: Cross multiply
    129,400x = 278,672 × 278,672
  4. Step 4: Simplify right side
    129,400x = 77,658,083,584
  5. Step 5: Solve for x
    x = 77,658,083,584/129,400
  6. Step 6: Final answer
    x = 600,139.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.