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Finding the Third Proportional to 207,912 and 304,092

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Solution

The third proportional to 207,912 and 304,092 is: 444,764.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,912 : 304,092 = 304,092 : x
  2. Step 2: Convert to fraction form
    207,912/304,092 = 304,092/x
  3. Step 3: Cross multiply
    207,912x = 304,092 × 304,092
  4. Step 4: Simplify right side
    207,912x = 92,471,944,464
  5. Step 5: Solve for x
    x = 92,471,944,464/207,912
  6. Step 6: Final answer
    x = 444,764.83

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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.