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Finding the Third Proportional to 181,650 and 393,917.25

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Solution

The third proportional to 181,650 and 393,917.25 is: 854,229.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,650 : 393,917.25 = 393,917.25 : x
  2. Step 2: Convert to fraction form
    181,650/393,917.25 = 393,917.25/x
  3. Step 3: Cross multiply
    181,650x = 393,917.25 × 393,917.25
  4. Step 4: Simplify right side
    181,650x = 155,170,799,847.56
  5. Step 5: Solve for x
    x = 155,170,799,847.56/181,650
  6. Step 6: Final answer
    x = 854,229.56

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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.