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Finding the Third Proportional to 171,708 and 262,667

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Solution

The third proportional to 171,708 and 262,667 is: 401,809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,708 : 262,667 = 262,667 : x
  2. Step 2: Convert to fraction form
    171,708/262,667 = 262,667/x
  3. Step 3: Cross multiply
    171,708x = 262,667 × 262,667
  4. Step 4: Simplify right side
    171,708x = 68,993,952,889
  5. Step 5: Solve for x
    x = 68,993,952,889/171,708
  6. Step 6: Final answer
    x = 401,809.78

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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.