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Finding the Third Proportional to 173,967 and 266,568

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Solution

The third proportional to 173,967 and 266,568 is: 408,459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,967 : 266,568 = 266,568 : x
  2. Step 2: Convert to fraction form
    173,967/266,568 = 266,568/x
  3. Step 3: Cross multiply
    173,967x = 266,568 × 266,568
  4. Step 4: Simplify right side
    173,967x = 71,058,498,624
  5. Step 5: Solve for x
    x = 71,058,498,624/173,967
  6. Step 6: Final answer
    x = 408,459.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.