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Finding the Third Proportional to 201,193 and 301,814

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Solution

The third proportional to 201,193 and 301,814 is: 452,757.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,193 : 301,814 = 301,814 : x
  2. Step 2: Convert to fraction form
    201,193/301,814 = 301,814/x
  3. Step 3: Cross multiply
    201,193x = 301,814 × 301,814
  4. Step 4: Simplify right side
    201,193x = 91,091,690,596
  5. Step 5: Solve for x
    x = 91,091,690,596/201,193
  6. Step 6: Final answer
    x = 452,757.75

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Why These Related Problems?

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