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Finding the Third Proportional to 169,823 and 356,170

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Solution

The third proportional to 169,823 and 356,170 is: 746,995.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,823 : 356,170 = 356,170 : x
  2. Step 2: Convert to fraction form
    169,823/356,170 = 356,170/x
  3. Step 3: Cross multiply
    169,823x = 356,170 × 356,170
  4. Step 4: Simplify right side
    169,823x = 126,857,068,900
  5. Step 5: Solve for x
    x = 126,857,068,900/169,823
  6. Step 6: Final answer
    x = 746,995.81

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