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Finding the Third Proportional to 83,296 and 182,125

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Solution

The third proportional to 83,296 and 182,125 is: 398,212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,296 : 182,125 = 182,125 : x
  2. Step 2: Convert to fraction form
    83,296/182,125 = 182,125/x
  3. Step 3: Cross multiply
    83,296x = 182,125 × 182,125
  4. Step 4: Simplify right side
    83,296x = 33,169,515,625
  5. Step 5: Solve for x
    x = 33,169,515,625/83,296
  6. Step 6: Final answer
    x = 398,212.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.