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Finding the Third Proportional to 83,781.25 and 182,305

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Solution

The third proportional to 83,781.25 and 182,305 is: 396,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,781.25 : 182,305 = 182,305 : x
  2. Step 2: Convert to fraction form
    83,781.25/182,305 = 182,305/x
  3. Step 3: Cross multiply
    83,781.25x = 182,305 × 182,305
  4. Step 4: Simplify right side
    83,781.25x = 33,235,113,025
  5. Step 5: Solve for x
    x = 33,235,113,025/83,781.25
  6. Step 6: Final answer
    x = 396,689.15

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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.