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Finding the Third Proportional to 168,859 and 267,383

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Solution

The third proportional to 168,859 and 267,383 is: 423,392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,859 : 267,383 = 267,383 : x
  2. Step 2: Convert to fraction form
    168,859/267,383 = 267,383/x
  3. Step 3: Cross multiply
    168,859x = 267,383 × 267,383
  4. Step 4: Simplify right side
    168,859x = 71,493,668,689
  5. Step 5: Solve for x
    x = 71,493,668,689/168,859
  6. Step 6: Final answer
    x = 423,392.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.