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Finding the Third Proportional to 206,105 and 327,858.50

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Solution

The third proportional to 206,105 and 327,858.50 is: 521,536.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,105 : 327,858.50 = 327,858.50 : x
  2. Step 2: Convert to fraction form
    206,105/327,858.50 = 327,858.50/x
  3. Step 3: Cross multiply
    206,105x = 327,858.50 × 327,858.50
  4. Step 4: Simplify right side
    206,105x = 107,491,196,022.25
  5. Step 5: Solve for x
    x = 107,491,196,022.25/206,105
  6. Step 6: Final answer
    x = 521,536.09

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.