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Finding the Third Proportional to 150,432.75 and 330,391.13

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Solution

The third proportional to 150,432.75 and 330,391.13 is: 725,628.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,432.75 : 330,391.13 = 330,391.13 : x
  2. Step 2: Convert to fraction form
    150,432.75/330,391.13 = 330,391.13/x
  3. Step 3: Cross multiply
    150,432.75x = 330,391.13 × 330,391.13
  4. Step 4: Simplify right side
    150,432.75x = 109,158,295,478.77
  5. Step 5: Solve for x
    x = 109,158,295,478.77/150,432.75
  6. Step 6: Final answer
    x = 725,628.53

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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.