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Finding the Third Proportional to 188,192 and 403,672

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Solution

The third proportional to 188,192 and 403,672 is: 865,876.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,192 : 403,672 = 403,672 : x
  2. Step 2: Convert to fraction form
    188,192/403,672 = 403,672/x
  3. Step 3: Cross multiply
    188,192x = 403,672 × 403,672
  4. Step 4: Simplify right side
    188,192x = 162,951,083,584
  5. Step 5: Solve for x
    x = 162,951,083,584/188,192
  6. Step 6: Final answer
    x = 865,876.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.