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Finding the Third Proportional to 83,764 and 182,324

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Solution

The third proportional to 83,764 and 182,324 is: 396,853.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,764 : 182,324 = 182,324 : x
  2. Step 2: Convert to fraction form
    83,764/182,324 = 182,324/x
  3. Step 3: Cross multiply
    83,764x = 182,324 × 182,324
  4. Step 4: Simplify right side
    83,764x = 33,242,040,976
  5. Step 5: Solve for x
    x = 33,242,040,976/83,764
  6. Step 6: Final answer
    x = 396,853.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.