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Finding the Third Proportional to 182,201.63 and 392,082.75

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Solution

The third proportional to 182,201.63 and 392,082.75 is: 843,729.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,201.63 : 392,082.75 = 392,082.75 : x
  2. Step 2: Convert to fraction form
    182,201.63/392,082.75 = 392,082.75/x
  3. Step 3: Cross multiply
    182,201.63x = 392,082.75 × 392,082.75
  4. Step 4: Simplify right side
    182,201.63x = 153,728,882,847.56
  5. Step 5: Solve for x
    x = 153,728,882,847.56/182,201.63
  6. Step 6: Final answer
    x = 843,729.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.