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Finding the Third Proportional to 193,453.50 and 298,812

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Solution

The third proportional to 193,453.50 and 298,812 is: 461,550.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,453.50 : 298,812 = 298,812 : x
  2. Step 2: Convert to fraction form
    193,453.50/298,812 = 298,812/x
  3. Step 3: Cross multiply
    193,453.50x = 298,812 × 298,812
  4. Step 4: Simplify right side
    193,453.50x = 89,288,611,344
  5. Step 5: Solve for x
    x = 89,288,611,344/193,453.50
  6. Step 6: Final answer
    x = 461,550.77

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.