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Finding the Third Proportional to 177,383 and 267,918

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Solution

The third proportional to 177,383 and 267,918 is: 404,661.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,383 : 267,918 = 267,918 : x
  2. Step 2: Convert to fraction form
    177,383/267,918 = 267,918/x
  3. Step 3: Cross multiply
    177,383x = 267,918 × 267,918
  4. Step 4: Simplify right side
    177,383x = 71,780,054,724
  5. Step 5: Solve for x
    x = 71,780,054,724/177,383
  6. Step 6: Final answer
    x = 404,661.41

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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.