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Finding the Third Proportional to 216,084 and 327,107

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Solution

The third proportional to 216,084 and 327,107 is: 495,173.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,084 : 327,107 = 327,107 : x
  2. Step 2: Convert to fraction form
    216,084/327,107 = 327,107/x
  3. Step 3: Cross multiply
    216,084x = 327,107 × 327,107
  4. Step 4: Simplify right side
    216,084x = 106,998,989,449
  5. Step 5: Solve for x
    x = 106,998,989,449/216,084
  6. Step 6: Final answer
    x = 495,173.12

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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.