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Finding the Third Proportional to 181,839 and 397,536

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Solution

The third proportional to 181,839 and 397,536 is: 869,092.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,839 : 397,536 = 397,536 : x
  2. Step 2: Convert to fraction form
    181,839/397,536 = 397,536/x
  3. Step 3: Cross multiply
    181,839x = 397,536 × 397,536
  4. Step 4: Simplify right side
    181,839x = 158,034,871,296
  5. Step 5: Solve for x
    x = 158,034,871,296/181,839
  6. Step 6: Final answer
    x = 869,092.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.