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Finding the Third Proportional to 126,002.25 and 280,162.13

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Solution

The third proportional to 126,002.25 and 280,162.13 is: 622,931.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,002.25 : 280,162.13 = 280,162.13 : x
  2. Step 2: Convert to fraction form
    126,002.25/280,162.13 = 280,162.13/x
  3. Step 3: Cross multiply
    126,002.25x = 280,162.13 × 280,162.13
  4. Step 4: Simplify right side
    126,002.25x = 78,490,816,284.52
  5. Step 5: Solve for x
    x = 78,490,816,284.52/126,002.25
  6. Step 6: Final answer
    x = 622,931.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.