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Finding the Third Proportional to 167,580.75 and 365,286.75

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Solution

The third proportional to 167,580.75 and 365,286.75 is: 796,239.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,580.75 : 365,286.75 = 365,286.75 : x
  2. Step 2: Convert to fraction form
    167,580.75/365,286.75 = 365,286.75/x
  3. Step 3: Cross multiply
    167,580.75x = 365,286.75 × 365,286.75
  4. Step 4: Simplify right side
    167,580.75x = 133,434,409,725.56
  5. Step 5: Solve for x
    x = 133,434,409,725.56/167,580.75
  6. Step 6: Final answer
    x = 796,239.48

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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.