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Finding the Third Proportional to 126,940 and 278,796

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Solution

The third proportional to 126,940 and 278,796 is: 612,314.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,940 : 278,796 = 278,796 : x
  2. Step 2: Convert to fraction form
    126,940/278,796 = 278,796/x
  3. Step 3: Cross multiply
    126,940x = 278,796 × 278,796
  4. Step 4: Simplify right side
    126,940x = 77,727,209,616
  5. Step 5: Solve for x
    x = 77,727,209,616/126,940
  6. Step 6: Final answer
    x = 612,314.56

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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.