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Finding the Third Proportional to 181,363 and 394,850

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Solution

The third proportional to 181,363 and 394,850 is: 859,637.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,363 : 394,850 = 394,850 : x
  2. Step 2: Convert to fraction form
    181,363/394,850 = 394,850/x
  3. Step 3: Cross multiply
    181,363x = 394,850 × 394,850
  4. Step 4: Simplify right side
    181,363x = 155,906,522,500
  5. Step 5: Solve for x
    x = 155,906,522,500/181,363
  6. Step 6: Final answer
    x = 859,637.98

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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.