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Finding the Third Proportional to 181,770.75 and 372,593.25

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Solution

The third proportional to 181,770.75 and 372,593.25 is: 763,740.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,770.75 : 372,593.25 = 372,593.25 : x
  2. Step 2: Convert to fraction form
    181,770.75/372,593.25 = 372,593.25/x
  3. Step 3: Cross multiply
    181,770.75x = 372,593.25 × 372,593.25
  4. Step 4: Simplify right side
    181,770.75x = 138,825,729,945.56
  5. Step 5: Solve for x
    x = 138,825,729,945.56/181,770.75
  6. Step 6: Final answer
    x = 763,740.76

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