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Finding the Third Proportional to 135,949.50 and 300,042

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Solution

The third proportional to 135,949.50 and 300,042 is: 662,195.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,949.50 : 300,042 = 300,042 : x
  2. Step 2: Convert to fraction form
    135,949.50/300,042 = 300,042/x
  3. Step 3: Cross multiply
    135,949.50x = 300,042 × 300,042
  4. Step 4: Simplify right side
    135,949.50x = 90,025,201,764
  5. Step 5: Solve for x
    x = 90,025,201,764/135,949.50
  6. Step 6: Final answer
    x = 662,195.90

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.