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Finding the Third Proportional to 181,530 and 394,545

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Solution

The third proportional to 181,530 and 394,545 is: 857,520.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,530 : 394,545 = 394,545 : x
  2. Step 2: Convert to fraction form
    181,530/394,545 = 394,545/x
  3. Step 3: Cross multiply
    181,530x = 394,545 × 394,545
  4. Step 4: Simplify right side
    181,530x = 155,665,757,025
  5. Step 5: Solve for x
    x = 155,665,757,025/181,530
  6. Step 6: Final answer
    x = 857,520.83

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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.