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Finding the Third Proportional to 198,621 and 303,891.75

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Solution

The third proportional to 198,621 and 303,891.75 is: 464,956.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,621 : 303,891.75 = 303,891.75 : x
  2. Step 2: Convert to fraction form
    198,621/303,891.75 = 303,891.75/x
  3. Step 3: Cross multiply
    198,621x = 303,891.75 × 303,891.75
  4. Step 4: Simplify right side
    198,621x = 92,350,195,718.06
  5. Step 5: Solve for x
    x = 92,350,195,718.06/198,621
  6. Step 6: Final answer
    x = 464,956.86

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.