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Finding the Third Proportional to 181,952 and 394,830

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Solution

The third proportional to 181,952 and 394,830 is: 856,768.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,952 : 394,830 = 394,830 : x
  2. Step 2: Convert to fraction form
    181,952/394,830 = 394,830/x
  3. Step 3: Cross multiply
    181,952x = 394,830 × 394,830
  4. Step 4: Simplify right side
    181,952x = 155,890,728,900
  5. Step 5: Solve for x
    x = 155,890,728,900/181,952
  6. Step 6: Final answer
    x = 856,768.43

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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.