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Finding the Third Proportional to 179,886 and 394,764

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Solution

The third proportional to 179,886 and 394,764 is: 866,318.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,886 : 394,764 = 394,764 : x
  2. Step 2: Convert to fraction form
    179,886/394,764 = 394,764/x
  3. Step 3: Cross multiply
    179,886x = 394,764 × 394,764
  4. Step 4: Simplify right side
    179,886x = 155,838,615,696
  5. Step 5: Solve for x
    x = 155,838,615,696/179,886
  6. Step 6: Final answer
    x = 866,318.76

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