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Finding the Third Proportional to 188,841.38 and 407,843.44

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Solution

The third proportional to 188,841.38 and 407,843.44 is: 880,825.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,841.38 : 407,843.44 = 407,843.44 : x
  2. Step 2: Convert to fraction form
    188,841.38/407,843.44 = 407,843.44/x
  3. Step 3: Cross multiply
    188,841.38x = 407,843.44 × 407,843.44
  4. Step 4: Simplify right side
    188,841.38x = 166,336,269,511.82
  5. Step 5: Solve for x
    x = 166,336,269,511.82/188,841.38
  6. Step 6: Final answer
    x = 880,825.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.