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Finding the Third Proportional to 216,081 and 327,102

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Solution

The third proportional to 216,081 and 327,102 is: 495,164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,081 : 327,102 = 327,102 : x
  2. Step 2: Convert to fraction form
    216,081/327,102 = 327,102/x
  3. Step 3: Cross multiply
    216,081x = 327,102 × 327,102
  4. Step 4: Simplify right side
    216,081x = 106,995,718,404
  5. Step 5: Solve for x
    x = 106,995,718,404/216,081
  6. Step 6: Final answer
    x = 495,164.86

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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.