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Finding the Third Proportional to 84,040 and 179,204

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Solution

The third proportional to 84,040 and 179,204 is: 382,128.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,040 : 179,204 = 179,204 : x
  2. Step 2: Convert to fraction form
    84,040/179,204 = 179,204/x
  3. Step 3: Cross multiply
    84,040x = 179,204 × 179,204
  4. Step 4: Simplify right side
    84,040x = 32,114,073,616
  5. Step 5: Solve for x
    x = 32,114,073,616/84,040
  6. Step 6: Final answer
    x = 382,128.43

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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.