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Finding the Third Proportional to 174,162 and 260,568

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Solution

The third proportional to 174,162 and 260,568 is: 389,842.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,162 : 260,568 = 260,568 : x
  2. Step 2: Convert to fraction form
    174,162/260,568 = 260,568/x
  3. Step 3: Cross multiply
    174,162x = 260,568 × 260,568
  4. Step 4: Simplify right side
    174,162x = 67,895,682,624
  5. Step 5: Solve for x
    x = 67,895,682,624/174,162
  6. Step 6: Final answer
    x = 389,842.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.