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Finding the Third Proportional to 181,800 and 372,414

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Solution

The third proportional to 181,800 and 372,414 is: 762,883.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,800 : 372,414 = 372,414 : x
  2. Step 2: Convert to fraction form
    181,800/372,414 = 372,414/x
  3. Step 3: Cross multiply
    181,800x = 372,414 × 372,414
  4. Step 4: Simplify right side
    181,800x = 138,692,187,396
  5. Step 5: Solve for x
    x = 138,692,187,396/181,800
  6. Step 6: Final answer
    x = 762,883.32

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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.