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Finding the Third Proportional to 135,900.28 and 295,211.25

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Solution

The third proportional to 135,900.28 and 295,211.25 is: 641,276.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,900.28 : 295,211.25 = 295,211.25 : x
  2. Step 2: Convert to fraction form
    135,900.28/295,211.25 = 295,211.25/x
  3. Step 3: Cross multiply
    135,900.28x = 295,211.25 × 295,211.25
  4. Step 4: Simplify right side
    135,900.28x = 87,149,682,126.56
  5. Step 5: Solve for x
    x = 87,149,682,126.56/135,900.28
  6. Step 6: Final answer
    x = 641,276.69

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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.