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Finding the Third Proportional to 181,560 and 398,950

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Solution

The third proportional to 181,560 and 398,950 is: 876,630.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,560 : 398,950 = 398,950 : x
  2. Step 2: Convert to fraction form
    181,560/398,950 = 398,950/x
  3. Step 3: Cross multiply
    181,560x = 398,950 × 398,950
  4. Step 4: Simplify right side
    181,560x = 159,161,102,500
  5. Step 5: Solve for x
    x = 159,161,102,500/181,560
  6. Step 6: Final answer
    x = 876,630.88

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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.