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Finding the Third Proportional to 181,744 and 372,554

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Solution

The third proportional to 181,744 and 372,554 is: 763,692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,744 : 372,554 = 372,554 : x
  2. Step 2: Convert to fraction form
    181,744/372,554 = 372,554/x
  3. Step 3: Cross multiply
    181,744x = 372,554 × 372,554
  4. Step 4: Simplify right side
    181,744x = 138,796,482,916
  5. Step 5: Solve for x
    x = 138,796,482,916/181,744
  6. Step 6: Final answer
    x = 763,692.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.