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Finding the Third Proportional to 133,648 and 199,816

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Solution

The third proportional to 133,648 and 199,816 is: 298,743.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,648 : 199,816 = 199,816 : x
  2. Step 2: Convert to fraction form
    133,648/199,816 = 199,816/x
  3. Step 3: Cross multiply
    133,648x = 199,816 × 199,816
  4. Step 4: Simplify right side
    133,648x = 39,926,433,856
  5. Step 5: Solve for x
    x = 39,926,433,856/133,648
  6. Step 6: Final answer
    x = 298,743.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.