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Finding the Third Proportional to 138,189.38 and 299,706.75

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Solution

The third proportional to 138,189.38 and 299,706.75 is: 650,007.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,189.38 : 299,706.75 = 299,706.75 : x
  2. Step 2: Convert to fraction form
    138,189.38/299,706.75 = 299,706.75/x
  3. Step 3: Cross multiply
    138,189.38x = 299,706.75 × 299,706.75
  4. Step 4: Simplify right side
    138,189.38x = 89,824,135,995.56
  5. Step 5: Solve for x
    x = 89,824,135,995.56/138,189.38
  6. Step 6: Final answer
    x = 650,007.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.