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Finding the Third Proportional to 181,503 and 394,065

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Solution

The third proportional to 181,503 and 394,065 is: 855,562.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,503 : 394,065 = 394,065 : x
  2. Step 2: Convert to fraction form
    181,503/394,065 = 394,065/x
  3. Step 3: Cross multiply
    181,503x = 394,065 × 394,065
  4. Step 4: Simplify right side
    181,503x = 155,287,224,225
  5. Step 5: Solve for x
    x = 155,287,224,225/181,503
  6. Step 6: Final answer
    x = 855,562.85

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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.