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Finding the Third Proportional to 131,484.94 and 283,996.97

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Solution

The third proportional to 131,484.94 and 283,996.97 is: 613,410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,484.94 : 283,996.97 = 283,996.97 : x
  2. Step 2: Convert to fraction form
    131,484.94/283,996.97 = 283,996.97/x
  3. Step 3: Cross multiply
    131,484.94x = 283,996.97 × 283,996.97
  4. Step 4: Simplify right side
    131,484.94x = 80,654,278,259.19
  5. Step 5: Solve for x
    x = 80,654,278,259.19/131,484.94
  6. Step 6: Final answer
    x = 613,410.78

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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.