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Finding the Third Proportional to 131,493 and 283,998

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Solution

The third proportional to 131,493 and 283,998 is: 613,377.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,493 : 283,998 = 283,998 : x
  2. Step 2: Convert to fraction form
    131,493/283,998 = 283,998/x
  3. Step 3: Cross multiply
    131,493x = 283,998 × 283,998
  4. Step 4: Simplify right side
    131,493x = 80,654,864,004
  5. Step 5: Solve for x
    x = 80,654,864,004/131,493
  6. Step 6: Final answer
    x = 613,377.62

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