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Finding the Third Proportional to 225,231.50 and 303,371.25

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Solution

The third proportional to 225,231.50 and 303,371.25 is: 408,620.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,231.50 : 303,371.25 = 303,371.25 : x
  2. Step 2: Convert to fraction form
    225,231.50/303,371.25 = 303,371.25/x
  3. Step 3: Cross multiply
    225,231.50x = 303,371.25 × 303,371.25
  4. Step 4: Simplify right side
    225,231.50x = 92,034,115,326.56
  5. Step 5: Solve for x
    x = 92,034,115,326.56/225,231.50
  6. Step 6: Final answer
    x = 408,620.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.