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Finding the Third Proportional to 83,277 and 182,367

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Solution

The third proportional to 83,277 and 182,367 is: 399,362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,277 : 182,367 = 182,367 : x
  2. Step 2: Convert to fraction form
    83,277/182,367 = 182,367/x
  3. Step 3: Cross multiply
    83,277x = 182,367 × 182,367
  4. Step 4: Simplify right side
    83,277x = 33,257,722,689
  5. Step 5: Solve for x
    x = 33,257,722,689/83,277
  6. Step 6: Final answer
    x = 399,362.64

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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.