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Finding the Third Proportional to 83,743.25 and 182,518.75

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Solution

The third proportional to 83,743.25 and 182,518.75 is: 397,800.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,743.25 : 182,518.75 = 182,518.75 : x
  2. Step 2: Convert to fraction form
    83,743.25/182,518.75 = 182,518.75/x
  3. Step 3: Cross multiply
    83,743.25x = 182,518.75 × 182,518.75
  4. Step 4: Simplify right side
    83,743.25x = 33,313,094,101.56
  5. Step 5: Solve for x
    x = 33,313,094,101.56/83,743.25
  6. Step 6: Final answer
    x = 397,800.35

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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.