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Finding the Third Proportional to 207,992 and 304,188

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Solution

The third proportional to 207,992 and 304,188 is: 444,874.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,992 : 304,188 = 304,188 : x
  2. Step 2: Convert to fraction form
    207,992/304,188 = 304,188/x
  3. Step 3: Cross multiply
    207,992x = 304,188 × 304,188
  4. Step 4: Simplify right side
    207,992x = 92,530,339,344
  5. Step 5: Solve for x
    x = 92,530,339,344/207,992
  6. Step 6: Final answer
    x = 444,874.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.