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Finding the Third Proportional to 208,890.75 and 445,968.75

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Solution

The third proportional to 208,890.75 and 445,968.75 is: 952,115.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,890.75 : 445,968.75 = 445,968.75 : x
  2. Step 2: Convert to fraction form
    208,890.75/445,968.75 = 445,968.75/x
  3. Step 3: Cross multiply
    208,890.75x = 445,968.75 × 445,968.75
  4. Step 4: Simplify right side
    208,890.75x = 198,888,125,976.56
  5. Step 5: Solve for x
    x = 198,888,125,976.56/208,890.75
  6. Step 6: Final answer
    x = 952,115.52

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.