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Finding the Third Proportional to 150,404 and 330,556

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Solution

The third proportional to 150,404 and 330,556 is: 726,491.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,404 : 330,556 = 330,556 : x
  2. Step 2: Convert to fraction form
    150,404/330,556 = 330,556/x
  3. Step 3: Cross multiply
    150,404x = 330,556 × 330,556
  4. Step 4: Simplify right side
    150,404x = 109,267,269,136
  5. Step 5: Solve for x
    x = 109,267,269,136/150,404
  6. Step 6: Final answer
    x = 726,491.78

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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.