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Finding the Third Proportional to 218,856.94 and 328,284.56

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Solution

The third proportional to 218,856.94 and 328,284.56 is: 492,425.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,856.94 : 328,284.56 = 328,284.56 : x
  2. Step 2: Convert to fraction form
    218,856.94/328,284.56 = 328,284.56/x
  3. Step 3: Cross multiply
    218,856.94x = 328,284.56 × 328,284.56
  4. Step 4: Simplify right side
    218,856.94x = 107,770,753,975.82
  5. Step 5: Solve for x
    x = 107,770,753,975.82/218,856.94
  6. Step 6: Final answer
    x = 492,425.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.