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Finding the Third Proportional to 181,542 and 398,922

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Solution

The third proportional to 181,542 and 398,922 is: 876,594.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,542 : 398,922 = 398,922 : x
  2. Step 2: Convert to fraction form
    181,542/398,922 = 398,922/x
  3. Step 3: Cross multiply
    181,542x = 398,922 × 398,922
  4. Step 4: Simplify right side
    181,542x = 159,138,762,084
  5. Step 5: Solve for x
    x = 159,138,762,084/181,542
  6. Step 6: Final answer
    x = 876,594.74

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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.