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Finding the Third Proportional to 133,695 and 231,626

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Solution

The third proportional to 133,695 and 231,626 is: 401,291.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,695 : 231,626 = 231,626 : x
  2. Step 2: Convert to fraction form
    133,695/231,626 = 231,626/x
  3. Step 3: Cross multiply
    133,695x = 231,626 × 231,626
  4. Step 4: Simplify right side
    133,695x = 53,650,603,876
  5. Step 5: Solve for x
    x = 53,650,603,876/133,695
  6. Step 6: Final answer
    x = 401,291.03

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.