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Finding the Third Proportional to 131,198.06 and 208,863.56

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Solution

The third proportional to 131,198.06 and 208,863.56 is: 332,504.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,198.06 : 208,863.56 = 208,863.56 : x
  2. Step 2: Convert to fraction form
    131,198.06/208,863.56 = 208,863.56/x
  3. Step 3: Cross multiply
    131,198.06x = 208,863.56 × 208,863.56
  4. Step 4: Simplify right side
    131,198.06x = 43,623,987,740.19
  5. Step 5: Solve for x
    x = 43,623,987,740.19/131,198.06
  6. Step 6: Final answer
    x = 332,504.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.