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Finding the Third Proportional to 140,640.75 and 303,270.75

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Solution

The third proportional to 140,640.75 and 303,270.75 is: 653,958.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,640.75 : 303,270.75 = 303,270.75 : x
  2. Step 2: Convert to fraction form
    140,640.75/303,270.75 = 303,270.75/x
  3. Step 3: Cross multiply
    140,640.75x = 303,270.75 × 303,270.75
  4. Step 4: Simplify right side
    140,640.75x = 91,973,147,805.56
  5. Step 5: Solve for x
    x = 91,973,147,805.56/140,640.75
  6. Step 6: Final answer
    x = 653,958.03

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