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Finding the Third Proportional to 131,074 and 197,698

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Solution

The third proportional to 131,074 and 197,698 is: 298,186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,074 : 197,698 = 197,698 : x
  2. Step 2: Convert to fraction form
    131,074/197,698 = 197,698/x
  3. Step 3: Cross multiply
    131,074x = 197,698 × 197,698
  4. Step 4: Simplify right side
    131,074x = 39,084,499,204
  5. Step 5: Solve for x
    x = 39,084,499,204/131,074
  6. Step 6: Final answer
    x = 298,186.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.