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Finding the Third Proportional to 83,811 and 182,382

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Solution

The third proportional to 83,811 and 182,382 is: 396,883.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,811 : 182,382 = 182,382 : x
  2. Step 2: Convert to fraction form
    83,811/182,382 = 182,382/x
  3. Step 3: Cross multiply
    83,811x = 182,382 × 182,382
  4. Step 4: Simplify right side
    83,811x = 33,263,193,924
  5. Step 5: Solve for x
    x = 33,263,193,924/83,811
  6. Step 6: Final answer
    x = 396,883.39

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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.