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Finding the Third Proportional to 133,932 and 202,626

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Solution

The third proportional to 133,932 and 202,626 is: 306,553.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,932 : 202,626 = 202,626 : x
  2. Step 2: Convert to fraction form
    133,932/202,626 = 202,626/x
  3. Step 3: Cross multiply
    133,932x = 202,626 × 202,626
  4. Step 4: Simplify right side
    133,932x = 41,057,295,876
  5. Step 5: Solve for x
    x = 41,057,295,876/133,932
  6. Step 6: Final answer
    x = 306,553.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.