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Finding the Third Proportional to 171,992 and 260,585

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Solution

The third proportional to 171,992 and 260,585 is: 394,812.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,992 : 260,585 = 260,585 : x
  2. Step 2: Convert to fraction form
    171,992/260,585 = 260,585/x
  3. Step 3: Cross multiply
    171,992x = 260,585 × 260,585
  4. Step 4: Simplify right side
    171,992x = 67,904,542,225
  5. Step 5: Solve for x
    x = 67,904,542,225/171,992
  6. Step 6: Final answer
    x = 394,812.21

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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.