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Finding the Third Proportional to 119,738.25 and 260,739

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Solution

The third proportional to 119,738.25 and 260,739 is: 567,778.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,738.25 : 260,739 = 260,739 : x
  2. Step 2: Convert to fraction form
    119,738.25/260,739 = 260,739/x
  3. Step 3: Cross multiply
    119,738.25x = 260,739 × 260,739
  4. Step 4: Simplify right side
    119,738.25x = 67,984,826,121
  5. Step 5: Solve for x
    x = 67,984,826,121/119,738.25
  6. Step 6: Final answer
    x = 567,778.68

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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.