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Finding the Third Proportional to 171,995 and 260,588

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Solution

The third proportional to 171,995 and 260,588 is: 394,814.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,995 : 260,588 = 260,588 : x
  2. Step 2: Convert to fraction form
    171,995/260,588 = 260,588/x
  3. Step 3: Cross multiply
    171,995x = 260,588 × 260,588
  4. Step 4: Simplify right side
    171,995x = 67,906,105,744
  5. Step 5: Solve for x
    x = 67,906,105,744/171,995
  6. Step 6: Final answer
    x = 394,814.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.