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Finding the Third Proportional to 197,014 and 408,042

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Solution

The third proportional to 197,014 and 408,042 is: 845,108.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,014 : 408,042 = 408,042 : x
  2. Step 2: Convert to fraction form
    197,014/408,042 = 408,042/x
  3. Step 3: Cross multiply
    197,014x = 408,042 × 408,042
  4. Step 4: Simplify right side
    197,014x = 166,498,273,764
  5. Step 5: Solve for x
    x = 166,498,273,764/197,014
  6. Step 6: Final answer
    x = 845,108.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.