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Finding the Third Proportional to 238,462 and 334,227

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Solution

The third proportional to 238,462 and 334,227 is: 468,450.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,462 : 334,227 = 334,227 : x
  2. Step 2: Convert to fraction form
    238,462/334,227 = 334,227/x
  3. Step 3: Cross multiply
    238,462x = 334,227 × 334,227
  4. Step 4: Simplify right side
    238,462x = 111,707,687,529
  5. Step 5: Solve for x
    x = 111,707,687,529/238,462
  6. Step 6: Final answer
    x = 468,450.69

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.