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Finding the Third Proportional to 187,694 and 283,162

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Solution

The third proportional to 187,694 and 283,162 is: 427,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,694 : 283,162 = 283,162 : x
  2. Step 2: Convert to fraction form
    187,694/283,162 = 283,162/x
  3. Step 3: Cross multiply
    187,694x = 283,162 × 283,162
  4. Step 4: Simplify right side
    187,694x = 80,180,718,244
  5. Step 5: Solve for x
    x = 80,180,718,244/187,694
  6. Step 6: Final answer
    x = 427,188.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.