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Finding the Third Proportional to 203,588 and 267,717

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Solution

The third proportional to 203,588 and 267,717 is: 352,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,588 : 267,717 = 267,717 : x
  2. Step 2: Convert to fraction form
    203,588/267,717 = 267,717/x
  3. Step 3: Cross multiply
    203,588x = 267,717 × 267,717
  4. Step 4: Simplify right side
    203,588x = 71,672,392,089
  5. Step 5: Solve for x
    x = 71,672,392,089/203,588
  6. Step 6: Final answer
    x = 352,046.25

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.