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Finding the Third Proportional to 150,357.75 and 200,659.50

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Solution

The third proportional to 150,357.75 and 200,659.50 is: 267,789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,357.75 : 200,659.50 = 200,659.50 : x
  2. Step 2: Convert to fraction form
    150,357.75/200,659.50 = 200,659.50/x
  3. Step 3: Cross multiply
    150,357.75x = 200,659.50 × 200,659.50
  4. Step 4: Simplify right side
    150,357.75x = 40,264,234,940.25
  5. Step 5: Solve for x
    x = 40,264,234,940.25/150,357.75
  6. Step 6: Final answer
    x = 267,789.55

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.