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Finding the Third Proportional to 222,322.75 and 332,872.75

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Solution

The third proportional to 222,322.75 and 332,872.75 is: 498,393.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,322.75 : 332,872.75 = 332,872.75 : x
  2. Step 2: Convert to fraction form
    222,322.75/332,872.75 = 332,872.75/x
  3. Step 3: Cross multiply
    222,322.75x = 332,872.75 × 332,872.75
  4. Step 4: Simplify right side
    222,322.75x = 110,804,267,692.56
  5. Step 5: Solve for x
    x = 110,804,267,692.56/222,322.75
  6. Step 6: Final answer
    x = 498,393.74

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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.