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Finding the Third Proportional to 181,956 and 394,992

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Solution

The third proportional to 181,956 and 394,992 is: 857,452.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,956 : 394,992 = 394,992 : x
  2. Step 2: Convert to fraction form
    181,956/394,992 = 394,992/x
  3. Step 3: Cross multiply
    181,956x = 394,992 × 394,992
  4. Step 4: Simplify right side
    181,956x = 156,018,680,064
  5. Step 5: Solve for x
    x = 156,018,680,064/181,956
  6. Step 6: Final answer
    x = 857,452.79

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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.