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Finding the Third Proportional to 118,992 and 259,287

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Solution

The third proportional to 118,992 and 259,287 is: 564,993.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,992 : 259,287 = 259,287 : x
  2. Step 2: Convert to fraction form
    118,992/259,287 = 259,287/x
  3. Step 3: Cross multiply
    118,992x = 259,287 × 259,287
  4. Step 4: Simplify right side
    118,992x = 67,229,748,369
  5. Step 5: Solve for x
    x = 67,229,748,369/118,992
  6. Step 6: Final answer
    x = 564,993.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.