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Finding the Third Proportional to 167,586 and 326,757

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Solution

The third proportional to 167,586 and 326,757 is: 637,106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,586 : 326,757 = 326,757 : x
  2. Step 2: Convert to fraction form
    167,586/326,757 = 326,757/x
  3. Step 3: Cross multiply
    167,586x = 326,757 × 326,757
  4. Step 4: Simplify right side
    167,586x = 106,770,137,049
  5. Step 5: Solve for x
    x = 106,770,137,049/167,586
  6. Step 6: Final answer
    x = 637,106.54

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.