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Finding the Third Proportional to 179,016 and 250,947

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Solution

The third proportional to 179,016 and 250,947 is: 351,780.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,016 : 250,947 = 250,947 : x
  2. Step 2: Convert to fraction form
    179,016/250,947 = 250,947/x
  3. Step 3: Cross multiply
    179,016x = 250,947 × 250,947
  4. Step 4: Simplify right side
    179,016x = 62,974,396,809
  5. Step 5: Solve for x
    x = 62,974,396,809/179,016
  6. Step 6: Final answer
    x = 351,780.83

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.