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Finding the Third Proportional to 181,105.24 and 393,350.55

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Solution

The third proportional to 181,105.24 and 393,350.55 is: 854,335.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,105.24 : 393,350.55 = 393,350.55 : x
  2. Step 2: Convert to fraction form
    181,105.24/393,350.55 = 393,350.55/x
  3. Step 3: Cross multiply
    181,105.24x = 393,350.55 × 393,350.55
  4. Step 4: Simplify right side
    181,105.24x = 154,724,658,872.96
  5. Step 5: Solve for x
    x = 154,724,658,872.96/181,105.24
  6. Step 6: Final answer
    x = 854,335.62

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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.