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Finding the Third Proportional to 217,344 and 327,394

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Solution

The third proportional to 217,344 and 327,394 is: 493,166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,344 : 327,394 = 327,394 : x
  2. Step 2: Convert to fraction form
    217,344/327,394 = 327,394/x
  3. Step 3: Cross multiply
    217,344x = 327,394 × 327,394
  4. Step 4: Simplify right side
    217,344x = 107,186,831,236
  5. Step 5: Solve for x
    x = 107,186,831,236/217,344
  6. Step 6: Final answer
    x = 493,166.74

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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.