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Finding the Third Proportional to 171,646 and 378,192

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Solution

The third proportional to 171,646 and 378,192 is: 833,280.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,646 : 378,192 = 378,192 : x
  2. Step 2: Convert to fraction form
    171,646/378,192 = 378,192/x
  3. Step 3: Cross multiply
    171,646x = 378,192 × 378,192
  4. Step 4: Simplify right side
    171,646x = 143,029,188,864
  5. Step 5: Solve for x
    x = 143,029,188,864/171,646
  6. Step 6: Final answer
    x = 833,280.06

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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.