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Finding the Third Proportional to 201,704.25 and 434,529

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Solution

The third proportional to 201,704.25 and 434,529 is: 936,100.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,704.25 : 434,529 = 434,529 : x
  2. Step 2: Convert to fraction form
    201,704.25/434,529 = 434,529/x
  3. Step 3: Cross multiply
    201,704.25x = 434,529 × 434,529
  4. Step 4: Simplify right side
    201,704.25x = 188,815,451,841
  5. Step 5: Solve for x
    x = 188,815,451,841/201,704.25
  6. Step 6: Final answer
    x = 936,100.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.