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Finding the Third Proportional to 158,962 and 222,801

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Solution

The third proportional to 158,962 and 222,801 is: 312,277.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,962 : 222,801 = 222,801 : x
  2. Step 2: Convert to fraction form
    158,962/222,801 = 222,801/x
  3. Step 3: Cross multiply
    158,962x = 222,801 × 222,801
  4. Step 4: Simplify right side
    158,962x = 49,640,285,601
  5. Step 5: Solve for x
    x = 49,640,285,601/158,962
  6. Step 6: Final answer
    x = 312,277.69

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.