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Finding the Third Proportional to 83,830 and 182,403

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Solution

The third proportional to 83,830 and 182,403 is: 396,884.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,830 : 182,403 = 182,403 : x
  2. Step 2: Convert to fraction form
    83,830/182,403 = 182,403/x
  3. Step 3: Cross multiply
    83,830x = 182,403 × 182,403
  4. Step 4: Simplify right side
    83,830x = 33,270,854,409
  5. Step 5: Solve for x
    x = 33,270,854,409/83,830
  6. Step 6: Final answer
    x = 396,884.82

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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.