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Finding the Third Proportional to 216,067.50 and 327,082.50

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Solution

The third proportional to 216,067.50 and 327,082.50 is: 495,136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,067.50 : 327,082.50 = 327,082.50 : x
  2. Step 2: Convert to fraction form
    216,067.50/327,082.50 = 327,082.50/x
  3. Step 3: Cross multiply
    216,067.50x = 327,082.50 × 327,082.50
  4. Step 4: Simplify right side
    216,067.50x = 106,982,961,806.25
  5. Step 5: Solve for x
    x = 106,982,961,806.25/216,067.50
  6. Step 6: Final answer
    x = 495,136.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.