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Finding the Third Proportional to 188,019 and 271,656

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Solution

The third proportional to 188,019 and 271,656 is: 392,497.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,019 : 271,656 = 271,656 : x
  2. Step 2: Convert to fraction form
    188,019/271,656 = 271,656/x
  3. Step 3: Cross multiply
    188,019x = 271,656 × 271,656
  4. Step 4: Simplify right side
    188,019x = 73,796,982,336
  5. Step 5: Solve for x
    x = 73,796,982,336/188,019
  6. Step 6: Final answer
    x = 392,497.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.