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Finding the Third Proportional to 271,936 and 382,266

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Solution

The third proportional to 271,936 and 382,266 is: 537,359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,936 : 382,266 = 382,266 : x
  2. Step 2: Convert to fraction form
    271,936/382,266 = 382,266/x
  3. Step 3: Cross multiply
    271,936x = 382,266 × 382,266
  4. Step 4: Simplify right side
    271,936x = 146,127,294,756
  5. Step 5: Solve for x
    x = 146,127,294,756/271,936
  6. Step 6: Final answer
    x = 537,359.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.