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Finding the Third Proportional to 171,786.75 and 259,563

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Solution

The third proportional to 171,786.75 and 259,563 is: 392,189.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,786.75 : 259,563 = 259,563 : x
  2. Step 2: Convert to fraction form
    171,786.75/259,563 = 259,563/x
  3. Step 3: Cross multiply
    171,786.75x = 259,563 × 259,563
  4. Step 4: Simplify right side
    171,786.75x = 67,372,950,969
  5. Step 5: Solve for x
    x = 67,372,950,969/171,786.75
  6. Step 6: Final answer
    x = 392,189.45

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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.