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Finding the Third Proportional to 80,250.50 and 170,869

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Solution

The third proportional to 80,250.50 and 170,869 is: 363,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,250.50 : 170,869 = 170,869 : x
  2. Step 2: Convert to fraction form
    80,250.50/170,869 = 170,869/x
  3. Step 3: Cross multiply
    80,250.50x = 170,869 × 170,869
  4. Step 4: Simplify right side
    80,250.50x = 29,196,215,161
  5. Step 5: Solve for x
    x = 29,196,215,161/80,250.50
  6. Step 6: Final answer
    x = 363,813.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.