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Finding the Third Proportional to 150,255 and 330,642

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Solution

The third proportional to 150,255 and 330,642 is: 727,590.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,255 : 330,642 = 330,642 : x
  2. Step 2: Convert to fraction form
    150,255/330,642 = 330,642/x
  3. Step 3: Cross multiply
    150,255x = 330,642 × 330,642
  4. Step 4: Simplify right side
    150,255x = 109,324,132,164
  5. Step 5: Solve for x
    x = 109,324,132,164/150,255
  6. Step 6: Final answer
    x = 727,590.64

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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.