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Finding the Third Proportional to 118,183 and 259,327

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Solution

The third proportional to 118,183 and 259,327 is: 569,036.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,183 : 259,327 = 259,327 : x
  2. Step 2: Convert to fraction form
    118,183/259,327 = 259,327/x
  3. Step 3: Cross multiply
    118,183x = 259,327 × 259,327
  4. Step 4: Simplify right side
    118,183x = 67,250,492,929
  5. Step 5: Solve for x
    x = 67,250,492,929/118,183
  6. Step 6: Final answer
    x = 569,036.94

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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.