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Finding the Third Proportional to 167,092.88 and 274,301.44

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Solution

The third proportional to 167,092.88 and 274,301.44 is: 450,296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,092.88 : 274,301.44 = 274,301.44 : x
  2. Step 2: Convert to fraction form
    167,092.88/274,301.44 = 274,301.44/x
  3. Step 3: Cross multiply
    167,092.88x = 274,301.44 × 274,301.44
  4. Step 4: Simplify right side
    167,092.88x = 75,241,278,614.57
  5. Step 5: Solve for x
    x = 75,241,278,614.57/167,092.88
  6. Step 6: Final answer
    x = 450,296.15

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.