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Finding the Third Proportional to 159,667 and 222,004

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Solution

The third proportional to 159,667 and 222,004 is: 308,678.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,667 : 222,004 = 222,004 : x
  2. Step 2: Convert to fraction form
    159,667/222,004 = 222,004/x
  3. Step 3: Cross multiply
    159,667x = 222,004 × 222,004
  4. Step 4: Simplify right side
    159,667x = 49,285,776,016
  5. Step 5: Solve for x
    x = 49,285,776,016/159,667
  6. Step 6: Final answer
    x = 308,678.54

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.