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Finding the Third Proportional to 131,544 and 284,107

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Solution

The third proportional to 131,544 and 284,107 is: 613,610.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,544 : 284,107 = 284,107 : x
  2. Step 2: Convert to fraction form
    131,544/284,107 = 284,107/x
  3. Step 3: Cross multiply
    131,544x = 284,107 × 284,107
  4. Step 4: Simplify right side
    131,544x = 80,716,787,449
  5. Step 5: Solve for x
    x = 80,716,787,449/131,544
  6. Step 6: Final answer
    x = 613,610.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.