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Finding the Third Proportional to 199,539 and 271,410

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Solution

The third proportional to 199,539 and 271,410 is: 369,167.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,539 : 271,410 = 271,410 : x
  2. Step 2: Convert to fraction form
    199,539/271,410 = 271,410/x
  3. Step 3: Cross multiply
    199,539x = 271,410 × 271,410
  4. Step 4: Simplify right side
    199,539x = 73,663,388,100
  5. Step 5: Solve for x
    x = 73,663,388,100/199,539
  6. Step 6: Final answer
    x = 369,167.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.