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Finding the Third Proportional to 131,821 and 204,285

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Solution

The third proportional to 131,821 and 204,285 is: 316,583.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,821 : 204,285 = 204,285 : x
  2. Step 2: Convert to fraction form
    131,821/204,285 = 204,285/x
  3. Step 3: Cross multiply
    131,821x = 204,285 × 204,285
  4. Step 4: Simplify right side
    131,821x = 41,732,361,225
  5. Step 5: Solve for x
    x = 41,732,361,225/131,821
  6. Step 6: Final answer
    x = 316,583.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.