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Finding the Third Proportional to 171,460 and 267,006

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Solution

The third proportional to 171,460 and 267,006 is: 415,794.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,460 : 267,006 = 267,006 : x
  2. Step 2: Convert to fraction form
    171,460/267,006 = 267,006/x
  3. Step 3: Cross multiply
    171,460x = 267,006 × 267,006
  4. Step 4: Simplify right side
    171,460x = 71,292,204,036
  5. Step 5: Solve for x
    x = 71,292,204,036/171,460
  6. Step 6: Final answer
    x = 415,794.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.