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Finding the Third Proportional to 222,540.75 and 422,664.75

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Solution

The third proportional to 222,540.75 and 422,664.75 is: 802,754.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,540.75 : 422,664.75 = 422,664.75 : x
  2. Step 2: Convert to fraction form
    222,540.75/422,664.75 = 422,664.75/x
  3. Step 3: Cross multiply
    222,540.75x = 422,664.75 × 422,664.75
  4. Step 4: Simplify right side
    222,540.75x = 178,645,490,892.56
  5. Step 5: Solve for x
    x = 178,645,490,892.56/222,540.75
  6. Step 6: Final answer
    x = 802,754.06

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.