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Finding the Third Proportional to 120,668 and 262,744

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Solution

The third proportional to 120,668 and 262,744 is: 572,102.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,668 : 262,744 = 262,744 : x
  2. Step 2: Convert to fraction form
    120,668/262,744 = 262,744/x
  3. Step 3: Cross multiply
    120,668x = 262,744 × 262,744
  4. Step 4: Simplify right side
    120,668x = 69,034,409,536
  5. Step 5: Solve for x
    x = 69,034,409,536/120,668
  6. Step 6: Final answer
    x = 572,102.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.