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Finding the Third Proportional to 233,286.75 and 330,378.75

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Solution

The third proportional to 233,286.75 and 330,378.75 is: 467,879.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,286.75 : 330,378.75 = 330,378.75 : x
  2. Step 2: Convert to fraction form
    233,286.75/330,378.75 = 330,378.75/x
  3. Step 3: Cross multiply
    233,286.75x = 330,378.75 × 330,378.75
  4. Step 4: Simplify right side
    233,286.75x = 109,150,118,451.56
  5. Step 5: Solve for x
    x = 109,150,118,451.56/233,286.75
  6. Step 6: Final answer
    x = 467,879.63

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.