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Finding the Third Proportional to 182,250.75 and 397,665

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Solution

The third proportional to 182,250.75 and 397,665 is: 867,691.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,250.75 : 397,665 = 397,665 : x
  2. Step 2: Convert to fraction form
    182,250.75/397,665 = 397,665/x
  3. Step 3: Cross multiply
    182,250.75x = 397,665 × 397,665
  4. Step 4: Simplify right side
    182,250.75x = 158,137,452,225
  5. Step 5: Solve for x
    x = 158,137,452,225/182,250.75
  6. Step 6: Final answer
    x = 867,691.64

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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.