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Finding the Third Proportional to 150,410.25 and 225,647.44

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Solution

The third proportional to 150,410.25 and 225,647.44 is: 338,519.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,410.25 : 225,647.44 = 225,647.44 : x
  2. Step 2: Convert to fraction form
    150,410.25/225,647.44 = 225,647.44/x
  3. Step 3: Cross multiply
    150,410.25x = 225,647.44 × 225,647.44
  4. Step 4: Simplify right side
    150,410.25x = 50,916,766,050.32
  5. Step 5: Solve for x
    x = 50,916,766,050.32/150,410.25
  6. Step 6: Final answer
    x = 338,519.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.