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Finding the Third Proportional to 118,229 and 251,794

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Solution

The third proportional to 118,229 and 251,794 is: 536,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,229 : 251,794 = 251,794 : x
  2. Step 2: Convert to fraction form
    118,229/251,794 = 251,794/x
  3. Step 3: Cross multiply
    118,229x = 251,794 × 251,794
  4. Step 4: Simplify right side
    118,229x = 63,400,218,436
  5. Step 5: Solve for x
    x = 63,400,218,436/118,229
  6. Step 6: Final answer
    x = 536,249.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.