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Finding the Third Proportional to 140,227 and 304,114

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Solution

The third proportional to 140,227 and 304,114 is: 659,540.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,227 : 304,114 = 304,114 : x
  2. Step 2: Convert to fraction form
    140,227/304,114 = 304,114/x
  3. Step 3: Cross multiply
    140,227x = 304,114 × 304,114
  4. Step 4: Simplify right side
    140,227x = 92,485,324,996
  5. Step 5: Solve for x
    x = 92,485,324,996/140,227
  6. Step 6: Final answer
    x = 659,540.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.