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Finding the Third Proportional to 217,093 and 327,908

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Solution

The third proportional to 217,093 and 327,908 is: 495,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,093 : 327,908 = 327,908 : x
  2. Step 2: Convert to fraction form
    217,093/327,908 = 327,908/x
  3. Step 3: Cross multiply
    217,093x = 327,908 × 327,908
  4. Step 4: Simplify right side
    217,093x = 107,523,656,464
  5. Step 5: Solve for x
    x = 107,523,656,464/217,093
  6. Step 6: Final answer
    x = 495,288.45

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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.