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Finding the Third Proportional to 171,914 and 262,812

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Solution

The third proportional to 171,914 and 262,812 is: 401,771.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,914 : 262,812 = 262,812 : x
  2. Step 2: Convert to fraction form
    171,914/262,812 = 262,812/x
  3. Step 3: Cross multiply
    171,914x = 262,812 × 262,812
  4. Step 4: Simplify right side
    171,914x = 69,070,147,344
  5. Step 5: Solve for x
    x = 69,070,147,344/171,914
  6. Step 6: Final answer
    x = 401,771.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.