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Finding the Third Proportional to 171,635 and 267,906

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Solution

The third proportional to 171,635 and 267,906 is: 418,175.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,635 : 267,906 = 267,906 : x
  2. Step 2: Convert to fraction form
    171,635/267,906 = 267,906/x
  3. Step 3: Cross multiply
    171,635x = 267,906 × 267,906
  4. Step 4: Simplify right side
    171,635x = 71,773,624,836
  5. Step 5: Solve for x
    x = 71,773,624,836/171,635
  6. Step 6: Final answer
    x = 418,175.92

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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.