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Finding the Third Proportional to 171,468 and 267,018

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Solution

The third proportional to 171,468 and 267,018 is: 415,812.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,468 : 267,018 = 267,018 : x
  2. Step 2: Convert to fraction form
    171,468/267,018 = 267,018/x
  3. Step 3: Cross multiply
    171,468x = 267,018 × 267,018
  4. Step 4: Simplify right side
    171,468x = 71,298,612,324
  5. Step 5: Solve for x
    x = 71,298,612,324/171,468
  6. Step 6: Final answer
    x = 415,812.93

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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.