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Finding the Third Proportional to 216,086 and 327,108

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Solution

The third proportional to 216,086 and 327,108 is: 495,171.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,086 : 327,108 = 327,108 : x
  2. Step 2: Convert to fraction form
    216,086/327,108 = 327,108/x
  3. Step 3: Cross multiply
    216,086x = 327,108 × 327,108
  4. Step 4: Simplify right side
    216,086x = 106,999,643,664
  5. Step 5: Solve for x
    x = 106,999,643,664/216,086
  6. Step 6: Final answer
    x = 495,171.57

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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.