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Finding the Third Proportional to 150,437.25 and 330,520.50

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Solution

The third proportional to 150,437.25 and 330,520.50 is: 726,175.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,437.25 : 330,520.50 = 330,520.50 : x
  2. Step 2: Convert to fraction form
    150,437.25/330,520.50 = 330,520.50/x
  3. Step 3: Cross multiply
    150,437.25x = 330,520.50 × 330,520.50
  4. Step 4: Simplify right side
    150,437.25x = 109,243,800,920.25
  5. Step 5: Solve for x
    x = 109,243,800,920.25/150,437.25
  6. Step 6: Final answer
    x = 726,175.21

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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.