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Finding the Third Proportional to 143,299.13 and 300,540.38

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Solution

The third proportional to 143,299.13 and 300,540.38 is: 630,321.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,299.13 : 300,540.38 = 300,540.38 : x
  2. Step 2: Convert to fraction form
    143,299.13/300,540.38 = 300,540.38/x
  3. Step 3: Cross multiply
    143,299.13x = 300,540.38 × 300,540.38
  4. Step 4: Simplify right side
    143,299.13x = 90,324,517,005.14
  5. Step 5: Solve for x
    x = 90,324,517,005.14/143,299.13
  6. Step 6: Final answer
    x = 630,321.48

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.