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Finding the Third Proportional to 188,239.50 and 395,856

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Solution

The third proportional to 188,239.50 and 395,856 is: 832,460.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,239.50 : 395,856 = 395,856 : x
  2. Step 2: Convert to fraction form
    188,239.50/395,856 = 395,856/x
  3. Step 3: Cross multiply
    188,239.50x = 395,856 × 395,856
  4. Step 4: Simplify right side
    188,239.50x = 156,701,972,736
  5. Step 5: Solve for x
    x = 156,701,972,736/188,239.50
  6. Step 6: Final answer
    x = 832,460.63

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.