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Finding the Third Proportional to 222,244 and 335,308

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Solution

The third proportional to 222,244 and 335,308 is: 505,891.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,244 : 335,308 = 335,308 : x
  2. Step 2: Convert to fraction form
    222,244/335,308 = 335,308/x
  3. Step 3: Cross multiply
    222,244x = 335,308 × 335,308
  4. Step 4: Simplify right side
    222,244x = 112,431,454,864
  5. Step 5: Solve for x
    x = 112,431,454,864/222,244
  6. Step 6: Final answer
    x = 505,891.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.