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Finding the Third Proportional to 199,446.75 and 299,315.25

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Solution

The third proportional to 199,446.75 and 299,315.25 is: 449,190.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,446.75 : 299,315.25 = 299,315.25 : x
  2. Step 2: Convert to fraction form
    199,446.75/299,315.25 = 299,315.25/x
  3. Step 3: Cross multiply
    199,446.75x = 299,315.25 × 299,315.25
  4. Step 4: Simplify right side
    199,446.75x = 89,589,618,882.56
  5. Step 5: Solve for x
    x = 89,589,618,882.56/199,446.75
  6. Step 6: Final answer
    x = 449,190.67

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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.