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Finding the Third Proportional to 198,945 and 304,227

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Solution

The third proportional to 198,945 and 304,227 is: 465,224.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,945 : 304,227 = 304,227 : x
  2. Step 2: Convert to fraction form
    198,945/304,227 = 304,227/x
  3. Step 3: Cross multiply
    198,945x = 304,227 × 304,227
  4. Step 4: Simplify right side
    198,945x = 92,554,067,529
  5. Step 5: Solve for x
    x = 92,554,067,529/198,945
  6. Step 6: Final answer
    x = 465,224.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.