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Finding the Third Proportional to 197,059 and 408,131

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Solution

The third proportional to 197,059 and 408,131 is: 845,284.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,059 : 408,131 = 408,131 : x
  2. Step 2: Convert to fraction form
    197,059/408,131 = 408,131/x
  3. Step 3: Cross multiply
    197,059x = 408,131 × 408,131
  4. Step 4: Simplify right side
    197,059x = 166,570,913,161
  5. Step 5: Solve for x
    x = 166,570,913,161/197,059
  6. Step 6: Final answer
    x = 845,284.47

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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.