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Finding the Third Proportional to 181,336 and 394,934

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Solution

The third proportional to 181,336 and 394,934 is: 860,131.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,336 : 394,934 = 394,934 : x
  2. Step 2: Convert to fraction form
    181,336/394,934 = 394,934/x
  3. Step 3: Cross multiply
    181,336x = 394,934 × 394,934
  4. Step 4: Simplify right side
    181,336x = 155,972,864,356
  5. Step 5: Solve for x
    x = 155,972,864,356/181,336
  6. Step 6: Final answer
    x = 860,131.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.