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Finding the Third Proportional to 135,034.28 and 291,003.26

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Solution

The third proportional to 135,034.28 and 291,003.26 is: 627,121.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,034.28 : 291,003.26 = 291,003.26 : x
  2. Step 2: Convert to fraction form
    135,034.28/291,003.26 = 291,003.26/x
  3. Step 3: Cross multiply
    135,034.28x = 291,003.26 × 291,003.26
  4. Step 4: Simplify right side
    135,034.28x = 84,682,896,057.49
  5. Step 5: Solve for x
    x = 84,682,896,057.49/135,034.28
  6. Step 6: Final answer
    x = 627,121.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.