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Finding the Third Proportional to 182,034.75 and 396,027.75

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Solution

The third proportional to 182,034.75 and 396,027.75 is: 861,582.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,034.75 : 396,027.75 = 396,027.75 : x
  2. Step 2: Convert to fraction form
    182,034.75/396,027.75 = 396,027.75/x
  3. Step 3: Cross multiply
    182,034.75x = 396,027.75 × 396,027.75
  4. Step 4: Simplify right side
    182,034.75x = 156,837,978,770.06
  5. Step 5: Solve for x
    x = 156,837,978,770.06/182,034.75
  6. Step 6: Final answer
    x = 861,582.63

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.