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Finding the Third Proportional to 150,427.13 and 330,380.44

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Solution

The third proportional to 150,427.13 and 330,380.44 is: 725,608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,427.13 : 330,380.44 = 330,380.44 : x
  2. Step 2: Convert to fraction form
    150,427.13/330,380.44 = 330,380.44/x
  3. Step 3: Cross multiply
    150,427.13x = 330,380.44 × 330,380.44
  4. Step 4: Simplify right side
    150,427.13x = 109,151,233,482.69
  5. Step 5: Solve for x
    x = 109,151,233,482.69/150,427.13
  6. Step 6: Final answer
    x = 725,608.72

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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.