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Finding the Third Proportional to 201,794 and 304,227

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Solution

The third proportional to 201,794 and 304,227 is: 458,656.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,794 : 304,227 = 304,227 : x
  2. Step 2: Convert to fraction form
    201,794/304,227 = 304,227/x
  3. Step 3: Cross multiply
    201,794x = 304,227 × 304,227
  4. Step 4: Simplify right side
    201,794x = 92,554,067,529
  5. Step 5: Solve for x
    x = 92,554,067,529/201,794
  6. Step 6: Final answer
    x = 458,656.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.