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Finding the Third Proportional to 216,074 and 327,092

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Solution

The third proportional to 216,074 and 327,092 is: 495,150.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,074 : 327,092 = 327,092 : x
  2. Step 2: Convert to fraction form
    216,074/327,092 = 327,092/x
  3. Step 3: Cross multiply
    216,074x = 327,092 × 327,092
  4. Step 4: Simplify right side
    216,074x = 106,989,176,464
  5. Step 5: Solve for x
    x = 106,989,176,464/216,074
  6. Step 6: Final answer
    x = 495,150.63

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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.