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Finding the Third Proportional to 188,021 and 271,659

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Solution

The third proportional to 188,021 and 271,659 is: 392,501.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,021 : 271,659 = 271,659 : x
  2. Step 2: Convert to fraction form
    188,021/271,659 = 271,659/x
  3. Step 3: Cross multiply
    188,021x = 271,659 × 271,659
  4. Step 4: Simplify right side
    188,021x = 73,798,612,281
  5. Step 5: Solve for x
    x = 73,798,612,281/188,021
  6. Step 6: Final answer
    x = 392,501.97

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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.