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Finding the Third Proportional to 150,753.75 and 230,928.75

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Solution

The third proportional to 150,753.75 and 230,928.75 is: 353,743.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,753.75 : 230,928.75 = 230,928.75 : x
  2. Step 2: Convert to fraction form
    150,753.75/230,928.75 = 230,928.75/x
  3. Step 3: Cross multiply
    150,753.75x = 230,928.75 × 230,928.75
  4. Step 4: Simplify right side
    150,753.75x = 53,328,087,576.56
  5. Step 5: Solve for x
    x = 53,328,087,576.56/150,753.75
  6. Step 6: Final answer
    x = 353,743.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.