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Finding the Third Proportional to 169,826 and 356,176

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Solution

The third proportional to 169,826 and 356,176 is: 747,007.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,826 : 356,176 = 356,176 : x
  2. Step 2: Convert to fraction form
    169,826/356,176 = 356,176/x
  3. Step 3: Cross multiply
    169,826x = 356,176 × 356,176
  4. Step 4: Simplify right side
    169,826x = 126,861,342,976
  5. Step 5: Solve for x
    x = 126,861,342,976/169,826
  6. Step 6: Final answer
    x = 747,007.78

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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.