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Finding the Third Proportional to 158,956 and 222,790

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Solution

The third proportional to 158,956 and 222,790 is: 312,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,956 : 222,790 = 222,790 : x
  2. Step 2: Convert to fraction form
    158,956/222,790 = 222,790/x
  3. Step 3: Cross multiply
    158,956x = 222,790 × 222,790
  4. Step 4: Simplify right side
    158,956x = 49,635,384,100
  5. Step 5: Solve for x
    x = 49,635,384,100/158,956
  6. Step 6: Final answer
    x = 312,258.64

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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.