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Finding the Third Proportional to 222,537.75 and 422,658.75

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Solution

The third proportional to 222,537.75 and 422,658.75 is: 802,742.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,537.75 : 422,658.75 = 422,658.75 : x
  2. Step 2: Convert to fraction form
    222,537.75/422,658.75 = 422,658.75/x
  3. Step 3: Cross multiply
    222,537.75x = 422,658.75 × 422,658.75
  4. Step 4: Simplify right side
    222,537.75x = 178,640,418,951.56
  5. Step 5: Solve for x
    x = 178,640,418,951.56/222,537.75
  6. Step 6: Final answer
    x = 802,742.09

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