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Finding the Third Proportional to 182,918 and 274,864

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Solution

The third proportional to 182,918 and 274,864 is: 413,027.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,918 : 274,864 = 274,864 : x
  2. Step 2: Convert to fraction form
    182,918/274,864 = 274,864/x
  3. Step 3: Cross multiply
    182,918x = 274,864 × 274,864
  4. Step 4: Simplify right side
    182,918x = 75,550,218,496
  5. Step 5: Solve for x
    x = 75,550,218,496/182,918
  6. Step 6: Final answer
    x = 413,027.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.