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Finding the Third Proportional to 181,467 and 394,416

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Solution

The third proportional to 181,467 and 394,416 is: 857,257.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,467 : 394,416 = 394,416 : x
  2. Step 2: Convert to fraction form
    181,467/394,416 = 394,416/x
  3. Step 3: Cross multiply
    181,467x = 394,416 × 394,416
  4. Step 4: Simplify right side
    181,467x = 155,563,981,056
  5. Step 5: Solve for x
    x = 155,563,981,056/181,467
  6. Step 6: Final answer
    x = 857,257.69

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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.