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Finding the Third Proportional to 169,828 and 356,180

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Solution

The third proportional to 169,828 and 356,180 is: 747,015.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,828 : 356,180 = 356,180 : x
  2. Step 2: Convert to fraction form
    169,828/356,180 = 356,180/x
  3. Step 3: Cross multiply
    169,828x = 356,180 × 356,180
  4. Step 4: Simplify right side
    169,828x = 126,864,192,400
  5. Step 5: Solve for x
    x = 126,864,192,400/169,828
  6. Step 6: Final answer
    x = 747,015.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.