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Finding the Third Proportional to 193,072.50 and 419,361.75

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Solution

The third proportional to 193,072.50 and 419,361.75 is: 910,871.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,072.50 : 419,361.75 = 419,361.75 : x
  2. Step 2: Convert to fraction form
    193,072.50/419,361.75 = 419,361.75/x
  3. Step 3: Cross multiply
    193,072.50x = 419,361.75 × 419,361.75
  4. Step 4: Simplify right side
    193,072.50x = 175,864,277,363.06
  5. Step 5: Solve for x
    x = 175,864,277,363.06/193,072.50
  6. Step 6: Final answer
    x = 910,871.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.