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Finding the Third Proportional to 177,437 and 267,999

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Solution

The third proportional to 177,437 and 267,999 is: 404,782.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,437 : 267,999 = 267,999 : x
  2. Step 2: Convert to fraction form
    177,437/267,999 = 267,999/x
  3. Step 3: Cross multiply
    177,437x = 267,999 × 267,999
  4. Step 4: Simplify right side
    177,437x = 71,823,464,001
  5. Step 5: Solve for x
    x = 71,823,464,001/177,437
  6. Step 6: Final answer
    x = 404,782.90

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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.