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Finding the Third Proportional to 201,629 and 440,193

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Solution

The third proportional to 201,629 and 440,193 is: 961,021.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,629 : 440,193 = 440,193 : x
  2. Step 2: Convert to fraction form
    201,629/440,193 = 440,193/x
  3. Step 3: Cross multiply
    201,629x = 440,193 × 440,193
  4. Step 4: Simplify right side
    201,629x = 193,769,877,249
  5. Step 5: Solve for x
    x = 193,769,877,249/201,629
  6. Step 6: Final answer
    x = 961,021.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.