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Finding the Third Proportional to 181,162.13 and 393,540.47

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Solution

The third proportional to 181,162.13 and 393,540.47 is: 854,892.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,162.13 : 393,540.47 = 393,540.47 : x
  2. Step 2: Convert to fraction form
    181,162.13/393,540.47 = 393,540.47/x
  3. Step 3: Cross multiply
    181,162.13x = 393,540.47 × 393,540.47
  4. Step 4: Simplify right side
    181,162.13x = 154,874,100,543.97
  5. Step 5: Solve for x
    x = 154,874,100,543.97/181,162.13
  6. Step 6: Final answer
    x = 854,892.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.