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Finding the Third Proportional to 199,154 and 298,947

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Solution

The third proportional to 199,154 and 298,947 is: 448,744.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,154 : 298,947 = 298,947 : x
  2. Step 2: Convert to fraction form
    199,154/298,947 = 298,947/x
  3. Step 3: Cross multiply
    199,154x = 298,947 × 298,947
  4. Step 4: Simplify right side
    199,154x = 89,369,308,809
  5. Step 5: Solve for x
    x = 89,369,308,809/199,154
  6. Step 6: Final answer
    x = 448,744.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.