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Finding the Third Proportional to 197,227.25 and 431,997.25

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Solution

The third proportional to 197,227.25 and 431,997.25 is: 946,226.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,227.25 : 431,997.25 = 431,997.25 : x
  2. Step 2: Convert to fraction form
    197,227.25/431,997.25 = 431,997.25/x
  3. Step 3: Cross multiply
    197,227.25x = 431,997.25 × 431,997.25
  4. Step 4: Simplify right side
    197,227.25x = 186,621,624,007.56
  5. Step 5: Solve for x
    x = 186,621,624,007.56/197,227.25
  6. Step 6: Final answer
    x = 946,226.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.