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Finding the Third Proportional to 118,144 and 259,251

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Solution

The third proportional to 118,144 and 259,251 is: 568,891.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,144 : 259,251 = 259,251 : x
  2. Step 2: Convert to fraction form
    118,144/259,251 = 259,251/x
  3. Step 3: Cross multiply
    118,144x = 259,251 × 259,251
  4. Step 4: Simplify right side
    118,144x = 67,211,081,001
  5. Step 5: Solve for x
    x = 67,211,081,001/118,144
  6. Step 6: Final answer
    x = 568,891.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.