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Finding the Third Proportional to 190,978 and 416,192

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Solution

The third proportional to 190,978 and 416,192 is: 906,993.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,978 : 416,192 = 416,192 : x
  2. Step 2: Convert to fraction form
    190,978/416,192 = 416,192/x
  3. Step 3: Cross multiply
    190,978x = 416,192 × 416,192
  4. Step 4: Simplify right side
    190,978x = 173,215,780,864
  5. Step 5: Solve for x
    x = 173,215,780,864/190,978
  6. Step 6: Final answer
    x = 906,993.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.