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Finding the Third Proportional to 144,992 and 204,184

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Solution

The third proportional to 144,992 and 204,184 is: 287,540.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,992 : 204,184 = 204,184 : x
  2. Step 2: Convert to fraction form
    144,992/204,184 = 204,184/x
  3. Step 3: Cross multiply
    144,992x = 204,184 × 204,184
  4. Step 4: Simplify right side
    144,992x = 41,691,105,856
  5. Step 5: Solve for x
    x = 41,691,105,856/144,992
  6. Step 6: Final answer
    x = 287,540.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.