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Finding the Third Proportional to 216,086.50 and 327,110.75

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Solution

The third proportional to 216,086.50 and 327,110.75 is: 495,178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,086.50 : 327,110.75 = 327,110.75 : x
  2. Step 2: Convert to fraction form
    216,086.50/327,110.75 = 327,110.75/x
  3. Step 3: Cross multiply
    216,086.50x = 327,110.75 × 327,110.75
  4. Step 4: Simplify right side
    216,086.50x = 107,001,442,765.56
  5. Step 5: Solve for x
    x = 107,001,442,765.56/216,086.50
  6. Step 6: Final answer
    x = 495,178.75

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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.