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Finding the Third Proportional to 187,806 and 281,652

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Solution

The third proportional to 187,806 and 281,652 is: 422,392.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,806 : 281,652 = 281,652 : x
  2. Step 2: Convert to fraction form
    187,806/281,652 = 281,652/x
  3. Step 3: Cross multiply
    187,806x = 281,652 × 281,652
  4. Step 4: Simplify right side
    187,806x = 79,327,849,104
  5. Step 5: Solve for x
    x = 79,327,849,104/187,806
  6. Step 6: Final answer
    x = 422,392.52

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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.