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Finding the Third Proportional to 171,016 and 374,866

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Solution

The third proportional to 171,016 and 374,866 is: 821,703.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,016 : 374,866 = 374,866 : x
  2. Step 2: Convert to fraction form
    171,016/374,866 = 374,866/x
  3. Step 3: Cross multiply
    171,016x = 374,866 × 374,866
  4. Step 4: Simplify right side
    171,016x = 140,524,517,956
  5. Step 5: Solve for x
    x = 140,524,517,956/171,016
  6. Step 6: Final answer
    x = 821,703.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.