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Finding the Third Proportional to 126,298.50 and 278,947

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Solution

The third proportional to 126,298.50 and 278,947 is: 616,091.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,298.50 : 278,947 = 278,947 : x
  2. Step 2: Convert to fraction form
    126,298.50/278,947 = 278,947/x
  3. Step 3: Cross multiply
    126,298.50x = 278,947 × 278,947
  4. Step 4: Simplify right side
    126,298.50x = 77,811,428,809
  5. Step 5: Solve for x
    x = 77,811,428,809/126,298.50
  6. Step 6: Final answer
    x = 616,091.47

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.