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Finding the Third Proportional to 182,131 and 271,328

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Solution

The third proportional to 182,131 and 271,328 is: 404,208.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,131 : 271,328 = 271,328 : x
  2. Step 2: Convert to fraction form
    182,131/271,328 = 271,328/x
  3. Step 3: Cross multiply
    182,131x = 271,328 × 271,328
  4. Step 4: Simplify right side
    182,131x = 73,618,883,584
  5. Step 5: Solve for x
    x = 73,618,883,584/182,131
  6. Step 6: Final answer
    x = 404,208.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.