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Finding the Third Proportional to 118,163 and 259,294

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Solution

The third proportional to 118,163 and 259,294 is: 568,988.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,163 : 259,294 = 259,294 : x
  2. Step 2: Convert to fraction form
    118,163/259,294 = 259,294/x
  3. Step 3: Cross multiply
    118,163x = 259,294 × 259,294
  4. Step 4: Simplify right side
    118,163x = 67,233,378,436
  5. Step 5: Solve for x
    x = 67,233,378,436/118,163
  6. Step 6: Final answer
    x = 568,988.42

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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.