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Finding the Third Proportional to 216,088 and 327,113

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Solution

The third proportional to 216,088 and 327,113 is: 495,182.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,088 : 327,113 = 327,113 : x
  2. Step 2: Convert to fraction form
    216,088/327,113 = 327,113/x
  3. Step 3: Cross multiply
    216,088x = 327,113 × 327,113
  4. Step 4: Simplify right side
    216,088x = 107,002,914,769
  5. Step 5: Solve for x
    x = 107,002,914,769/216,088
  6. Step 6: Final answer
    x = 495,182.12

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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.