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Finding the Third Proportional to 216,086.50 and 327,112.25

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Solution

The third proportional to 216,086.50 and 327,112.25 is: 495,183.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,086.50 : 327,112.25 = 327,112.25 : x
  2. Step 2: Convert to fraction form
    216,086.50/327,112.25 = 327,112.25/x
  3. Step 3: Cross multiply
    216,086.50x = 327,112.25 × 327,112.25
  4. Step 4: Simplify right side
    216,086.50x = 107,002,424,100.06
  5. Step 5: Solve for x
    x = 107,002,424,100.06/216,086.50
  6. Step 6: Final answer
    x = 495,183.29

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