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Finding the Third Proportional to 150,864 and 330,720

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Solution

The third proportional to 150,864 and 330,720 is: 724,995.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,864 : 330,720 = 330,720 : x
  2. Step 2: Convert to fraction form
    150,864/330,720 = 330,720/x
  3. Step 3: Cross multiply
    150,864x = 330,720 × 330,720
  4. Step 4: Simplify right side
    150,864x = 109,375,718,400
  5. Step 5: Solve for x
    x = 109,375,718,400/150,864
  6. Step 6: Final answer
    x = 724,995.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.