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Finding the Third Proportional to 188,100 and 381,060

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Solution

The third proportional to 188,100 and 381,060 is: 771,965.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,100 : 381,060 = 381,060 : x
  2. Step 2: Convert to fraction form
    188,100/381,060 = 381,060/x
  3. Step 3: Cross multiply
    188,100x = 381,060 × 381,060
  4. Step 4: Simplify right side
    188,100x = 145,206,723,600
  5. Step 5: Solve for x
    x = 145,206,723,600/188,100
  6. Step 6: Final answer
    x = 771,965.57

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.