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Finding the Third Proportional to 186,761.25 and 280,276.88

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Solution

The third proportional to 186,761.25 and 280,276.88 is: 420,617.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,761.25 : 280,276.88 = 280,276.88 : x
  2. Step 2: Convert to fraction form
    186,761.25/280,276.88 = 280,276.88/x
  3. Step 3: Cross multiply
    186,761.25x = 280,276.88 × 280,276.88
  4. Step 4: Simplify right side
    186,761.25x = 78,555,126,659.77
  5. Step 5: Solve for x
    x = 78,555,126,659.77/186,761.25
  6. Step 6: Final answer
    x = 420,617.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.