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Finding the Third Proportional to 148,972.50 and 223,791.75

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Solution

The third proportional to 148,972.50 and 223,791.75 is: 336,187.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,972.50 : 223,791.75 = 223,791.75 : x
  2. Step 2: Convert to fraction form
    148,972.50/223,791.75 = 223,791.75/x
  3. Step 3: Cross multiply
    148,972.50x = 223,791.75 × 223,791.75
  4. Step 4: Simplify right side
    148,972.50x = 50,082,747,368.06
  5. Step 5: Solve for x
    x = 50,082,747,368.06/148,972.50
  6. Step 6: Final answer
    x = 336,187.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.