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Finding the Third Proportional to 181,132.41 and 393,404.06

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Solution

The third proportional to 181,132.41 and 393,404.06 is: 854,439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,132.41 : 393,404.06 = 393,404.06 : x
  2. Step 2: Convert to fraction form
    181,132.41/393,404.06 = 393,404.06/x
  3. Step 3: Cross multiply
    181,132.41x = 393,404.06 × 393,404.06
  4. Step 4: Simplify right side
    181,132.41x = 154,766,756,391.50
  5. Step 5: Solve for x
    x = 154,766,756,391.50/181,132.41
  6. Step 6: Final answer
    x = 854,439.91

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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.