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Finding the Third Proportional to 188,692 and 412,375

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Solution

The third proportional to 188,692 and 412,375 is: 901,220.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,692 : 412,375 = 412,375 : x
  2. Step 2: Convert to fraction form
    188,692/412,375 = 412,375/x
  3. Step 3: Cross multiply
    188,692x = 412,375 × 412,375
  4. Step 4: Simplify right side
    188,692x = 170,053,140,625
  5. Step 5: Solve for x
    x = 170,053,140,625/188,692
  6. Step 6: Final answer
    x = 901,220.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.