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Finding the Third Proportional to 131,300.25 and 191,208.75

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Solution

The third proportional to 131,300.25 and 191,208.75 is: 278,451.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,300.25 : 191,208.75 = 191,208.75 : x
  2. Step 2: Convert to fraction form
    131,300.25/191,208.75 = 191,208.75/x
  3. Step 3: Cross multiply
    131,300.25x = 191,208.75 × 191,208.75
  4. Step 4: Simplify right side
    131,300.25x = 36,560,786,076.56
  5. Step 5: Solve for x
    x = 36,560,786,076.56/131,300.25
  6. Step 6: Final answer
    x = 278,451.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.