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Finding the Third Proportional to 199,538 and 271,406

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Solution

The third proportional to 199,538 and 271,406 is: 369,158.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,538 : 271,406 = 271,406 : x
  2. Step 2: Convert to fraction form
    199,538/271,406 = 271,406/x
  3. Step 3: Cross multiply
    199,538x = 271,406 × 271,406
  4. Step 4: Simplify right side
    199,538x = 73,661,216,836
  5. Step 5: Solve for x
    x = 73,661,216,836/199,538
  6. Step 6: Final answer
    x = 369,158.84

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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.