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Finding the Third Proportional to 171,977 and 260,562

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Solution

The third proportional to 171,977 and 260,562 is: 394,776.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,977 : 260,562 = 260,562 : x
  2. Step 2: Convert to fraction form
    171,977/260,562 = 260,562/x
  3. Step 3: Cross multiply
    171,977x = 260,562 × 260,562
  4. Step 4: Simplify right side
    171,977x = 67,892,555,844
  5. Step 5: Solve for x
    x = 67,892,555,844/171,977
  6. Step 6: Final answer
    x = 394,776.95

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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.