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Finding the Third Proportional to 181,891.50 and 372,531

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Solution

The third proportional to 181,891.50 and 372,531 is: 762,978.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,891.50 : 372,531 = 372,531 : x
  2. Step 2: Convert to fraction form
    181,891.50/372,531 = 372,531/x
  3. Step 3: Cross multiply
    181,891.50x = 372,531 × 372,531
  4. Step 4: Simplify right side
    181,891.50x = 138,779,345,961
  5. Step 5: Solve for x
    x = 138,779,345,961/181,891.50
  6. Step 6: Final answer
    x = 762,978.73

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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.