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Finding the Third Proportional to 83,561.25 and 180,437.75

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Solution

The third proportional to 83,561.25 and 180,437.75 is: 389,627.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,561.25 : 180,437.75 = 180,437.75 : x
  2. Step 2: Convert to fraction form
    83,561.25/180,437.75 = 180,437.75/x
  3. Step 3: Cross multiply
    83,561.25x = 180,437.75 × 180,437.75
  4. Step 4: Simplify right side
    83,561.25x = 32,557,781,625.06
  5. Step 5: Solve for x
    x = 32,557,781,625.06/83,561.25
  6. Step 6: Final answer
    x = 389,627.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.