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Finding the Third Proportional to 123,831 and 271,395

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Solution

The third proportional to 123,831 and 271,395 is: 594,804.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,831 : 271,395 = 271,395 : x
  2. Step 2: Convert to fraction form
    123,831/271,395 = 271,395/x
  3. Step 3: Cross multiply
    123,831x = 271,395 × 271,395
  4. Step 4: Simplify right side
    123,831x = 73,655,246,025
  5. Step 5: Solve for x
    x = 73,655,246,025/123,831
  6. Step 6: Final answer
    x = 594,804.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.