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Finding the Third Proportional to 150,883 and 330,782

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Solution

The third proportional to 150,883 and 330,782 is: 725,176.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,883 : 330,782 = 330,782 : x
  2. Step 2: Convert to fraction form
    150,883/330,782 = 330,782/x
  3. Step 3: Cross multiply
    150,883x = 330,782 × 330,782
  4. Step 4: Simplify right side
    150,883x = 109,416,731,524
  5. Step 5: Solve for x
    x = 109,416,731,524/150,883
  6. Step 6: Final answer
    x = 725,176.01

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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.