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Finding the Third Proportional to 222,322.22 and 332,872.03

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Solution

The third proportional to 222,322.22 and 332,872.03 is: 498,392.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,322.22 : 332,872.03 = 332,872.03 : x
  2. Step 2: Convert to fraction form
    222,322.22/332,872.03 = 332,872.03/x
  3. Step 3: Cross multiply
    222,322.22x = 332,872.03 × 332,872.03
  4. Step 4: Simplify right side
    222,322.22x = 110,803,789,188.50
  5. Step 5: Solve for x
    x = 110,803,789,188.50/222,322.22
  6. Step 6: Final answer
    x = 498,392.78

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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.