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Finding the Third Proportional to 181,469 and 394,933

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Solution

The third proportional to 181,469 and 394,933 is: 859,497.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,469 : 394,933 = 394,933 : x
  2. Step 2: Convert to fraction form
    181,469/394,933 = 394,933/x
  3. Step 3: Cross multiply
    181,469x = 394,933 × 394,933
  4. Step 4: Simplify right side
    181,469x = 155,972,074,489
  5. Step 5: Solve for x
    x = 155,972,074,489/181,469
  6. Step 6: Final answer
    x = 859,497.07

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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.