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Finding the Third Proportional to 190,791.75 and 419,036.25

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Solution

The third proportional to 190,791.75 and 419,036.25 is: 920,330.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,791.75 : 419,036.25 = 419,036.25 : x
  2. Step 2: Convert to fraction form
    190,791.75/419,036.25 = 419,036.25/x
  3. Step 3: Cross multiply
    190,791.75x = 419,036.25 × 419,036.25
  4. Step 4: Simplify right side
    190,791.75x = 175,591,378,814.06
  5. Step 5: Solve for x
    x = 175,591,378,814.06/190,791.75
  6. Step 6: Final answer
    x = 920,330.04

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.