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Finding the Third Proportional to 158,958 and 222,795

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Solution

The third proportional to 158,958 and 222,795 is: 312,268.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,958 : 222,795 = 222,795 : x
  2. Step 2: Convert to fraction form
    158,958/222,795 = 222,795/x
  3. Step 3: Cross multiply
    158,958x = 222,795 × 222,795
  4. Step 4: Simplify right side
    158,958x = 49,637,612,025
  5. Step 5: Solve for x
    x = 49,637,612,025/158,958
  6. Step 6: Final answer
    x = 312,268.73

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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.