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Finding the Third Proportional to 150,367.50 and 330,286.50

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Solution

The third proportional to 150,367.50 and 330,286.50 is: 725,483.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,367.50 : 330,286.50 = 330,286.50 : x
  2. Step 2: Convert to fraction form
    150,367.50/330,286.50 = 330,286.50/x
  3. Step 3: Cross multiply
    150,367.50x = 330,286.50 × 330,286.50
  4. Step 4: Simplify right side
    150,367.50x = 109,089,172,082.25
  5. Step 5: Solve for x
    x = 109,089,172,082.25/150,367.50
  6. Step 6: Final answer
    x = 725,483.71

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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.