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Finding the Third Proportional to 177,417 and 267,975

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Solution

The third proportional to 177,417 and 267,975 is: 404,756.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,417 : 267,975 = 267,975 : x
  2. Step 2: Convert to fraction form
    177,417/267,975 = 267,975/x
  3. Step 3: Cross multiply
    177,417x = 267,975 × 267,975
  4. Step 4: Simplify right side
    177,417x = 71,810,600,625
  5. Step 5: Solve for x
    x = 71,810,600,625/177,417
  6. Step 6: Final answer
    x = 404,756.03

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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.