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Finding the Third Proportional to 196,566.33 and 268,984.97

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Solution

The third proportional to 196,566.33 and 268,984.97 is: 368,083.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,566.33 : 268,984.97 = 268,984.97 : x
  2. Step 2: Convert to fraction form
    196,566.33/268,984.97 = 268,984.97/x
  3. Step 3: Cross multiply
    196,566.33x = 268,984.97 × 268,984.97
  4. Step 4: Simplify right side
    196,566.33x = 72,352,913,413.44
  5. Step 5: Solve for x
    x = 72,352,913,413.44/196,566.33
  6. Step 6: Final answer
    x = 368,083.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.