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Finding the Third Proportional to 126,747 and 278,280

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Solution

The third proportional to 126,747 and 278,280 is: 610,979.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,747 : 278,280 = 278,280 : x
  2. Step 2: Convert to fraction form
    126,747/278,280 = 278,280/x
  3. Step 3: Cross multiply
    126,747x = 278,280 × 278,280
  4. Step 4: Simplify right side
    126,747x = 77,439,758,400
  5. Step 5: Solve for x
    x = 77,439,758,400/126,747
  6. Step 6: Final answer
    x = 610,979.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.