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Finding the Third Proportional to 80,196 and 170,193

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Solution

The third proportional to 80,196 and 170,193 is: 361,185.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,196 : 170,193 = 170,193 : x
  2. Step 2: Convert to fraction form
    80,196/170,193 = 170,193/x
  3. Step 3: Cross multiply
    80,196x = 170,193 × 170,193
  4. Step 4: Simplify right side
    80,196x = 28,965,657,249
  5. Step 5: Solve for x
    x = 28,965,657,249/80,196
  6. Step 6: Final answer
    x = 361,185.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.