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Finding the Third Proportional to 118,512 and 259,195

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Solution

The third proportional to 118,512 and 259,195 is: 566,879.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,512 : 259,195 = 259,195 : x
  2. Step 2: Convert to fraction form
    118,512/259,195 = 259,195/x
  3. Step 3: Cross multiply
    118,512x = 259,195 × 259,195
  4. Step 4: Simplify right side
    118,512x = 67,182,048,025
  5. Step 5: Solve for x
    x = 67,182,048,025/118,512
  6. Step 6: Final answer
    x = 566,879.71

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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.