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Finding the Third Proportional to 150,540.75 and 330,604.50

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Solution

The third proportional to 150,540.75 and 330,604.50 is: 726,044.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,540.75 : 330,604.50 = 330,604.50 : x
  2. Step 2: Convert to fraction form
    150,540.75/330,604.50 = 330,604.50/x
  3. Step 3: Cross multiply
    150,540.75x = 330,604.50 × 330,604.50
  4. Step 4: Simplify right side
    150,540.75x = 109,299,335,420.25
  5. Step 5: Solve for x
    x = 109,299,335,420.25/150,540.75
  6. Step 6: Final answer
    x = 726,044.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.