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Finding the Third Proportional to 181,592 and 399,016

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Solution

The third proportional to 181,592 and 399,016 is: 876,766.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,592 : 399,016 = 399,016 : x
  2. Step 2: Convert to fraction form
    181,592/399,016 = 399,016/x
  3. Step 3: Cross multiply
    181,592x = 399,016 × 399,016
  4. Step 4: Simplify right side
    181,592x = 159,213,768,256
  5. Step 5: Solve for x
    x = 159,213,768,256/181,592
  6. Step 6: Final answer
    x = 876,766.42

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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.