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Finding the Third Proportional to 172,197 and 378,474

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Solution

The third proportional to 172,197 and 378,474 is: 831,852.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,197 : 378,474 = 378,474 : x
  2. Step 2: Convert to fraction form
    172,197/378,474 = 378,474/x
  3. Step 3: Cross multiply
    172,197x = 378,474 × 378,474
  4. Step 4: Simplify right side
    172,197x = 143,242,568,676
  5. Step 5: Solve for x
    x = 143,242,568,676/172,197
  6. Step 6: Final answer
    x = 831,852.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.