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Finding the Third Proportional to 187,823.25 and 281,679.75

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Solution

The third proportional to 187,823.25 and 281,679.75 is: 422,436.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,823.25 : 281,679.75 = 281,679.75 : x
  2. Step 2: Convert to fraction form
    187,823.25/281,679.75 = 281,679.75/x
  3. Step 3: Cross multiply
    187,823.25x = 281,679.75 × 281,679.75
  4. Step 4: Simplify right side
    187,823.25x = 79,343,481,560.06
  5. Step 5: Solve for x
    x = 79,343,481,560.06/187,823.25
  6. Step 6: Final answer
    x = 422,436.95

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