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Finding the Third Proportional to 188,934 and 399,196

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Solution

The third proportional to 188,934 and 399,196 is: 843,455.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,934 : 399,196 = 399,196 : x
  2. Step 2: Convert to fraction form
    188,934/399,196 = 399,196/x
  3. Step 3: Cross multiply
    188,934x = 399,196 × 399,196
  4. Step 4: Simplify right side
    188,934x = 159,357,446,416
  5. Step 5: Solve for x
    x = 159,357,446,416/188,934
  6. Step 6: Final answer
    x = 843,455.63

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.