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Finding the Third Proportional to 197,371.69 and 465,613.31

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Solution

The third proportional to 197,371.69 and 465,613.31 is: 1,098,413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,371.69 : 465,613.31 = 465,613.31 : x
  2. Step 2: Convert to fraction form
    197,371.69/465,613.31 = 465,613.31/x
  3. Step 3: Cross multiply
    197,371.69x = 465,613.31 × 465,613.31
  4. Step 4: Simplify right side
    197,371.69x = 216,795,756,777.22
  5. Step 5: Solve for x
    x = 216,795,756,777.22/197,371.69
  6. Step 6: Final answer
    x = 1,098,413.66

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.