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Finding the Third Proportional to 181,404 and 393,876

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Solution

The third proportional to 181,404 and 393,876 is: 855,208.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,404 : 393,876 = 393,876 : x
  2. Step 2: Convert to fraction form
    181,404/393,876 = 393,876/x
  3. Step 3: Cross multiply
    181,404x = 393,876 × 393,876
  4. Step 4: Simplify right side
    181,404x = 155,138,303,376
  5. Step 5: Solve for x
    x = 155,138,303,376/181,404
  6. Step 6: Final answer
    x = 855,208.83

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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.