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Finding the Third Proportional to 118,631 and 259,149

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Solution

The third proportional to 118,631 and 259,149 is: 566,110.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,631 : 259,149 = 259,149 : x
  2. Step 2: Convert to fraction form
    118,631/259,149 = 259,149/x
  3. Step 3: Cross multiply
    118,631x = 259,149 × 259,149
  4. Step 4: Simplify right side
    118,631x = 67,158,204,201
  5. Step 5: Solve for x
    x = 67,158,204,201/118,631
  6. Step 6: Final answer
    x = 566,110.07

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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.