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Finding the Third Proportional to 197,795.25 and 409,596.75

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Solution

The third proportional to 197,795.25 and 409,596.75 is: 848,197.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,795.25 : 409,596.75 = 409,596.75 : x
  2. Step 2: Convert to fraction form
    197,795.25/409,596.75 = 409,596.75/x
  3. Step 3: Cross multiply
    197,795.25x = 409,596.75 × 409,596.75
  4. Step 4: Simplify right side
    197,795.25x = 167,769,497,610.56
  5. Step 5: Solve for x
    x = 167,769,497,610.56/197,795.25
  6. Step 6: Final answer
    x = 848,197.81

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.