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Finding the Third Proportional to 126,974 and 278,856

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Solution

The third proportional to 126,974 and 278,856 is: 612,414.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,974 : 278,856 = 278,856 : x
  2. Step 2: Convert to fraction form
    126,974/278,856 = 278,856/x
  3. Step 3: Cross multiply
    126,974x = 278,856 × 278,856
  4. Step 4: Simplify right side
    126,974x = 77,760,668,736
  5. Step 5: Solve for x
    x = 77,760,668,736/126,974
  6. Step 6: Final answer
    x = 612,414.11

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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.