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Finding the Third Proportional to 216,096 and 327,120

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Solution

The third proportional to 216,096 and 327,120 is: 495,184.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,096 : 327,120 = 327,120 : x
  2. Step 2: Convert to fraction form
    216,096/327,120 = 327,120/x
  3. Step 3: Cross multiply
    216,096x = 327,120 × 327,120
  4. Step 4: Simplify right side
    216,096x = 107,007,494,400
  5. Step 5: Solve for x
    x = 107,007,494,400/216,096
  6. Step 6: Final answer
    x = 495,184.98

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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.