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Finding the Third Proportional to 187,876 and 281,830

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Solution

The third proportional to 187,876 and 281,830 is: 422,769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,876 : 281,830 = 281,830 : x
  2. Step 2: Convert to fraction form
    187,876/281,830 = 281,830/x
  3. Step 3: Cross multiply
    187,876x = 281,830 × 281,830
  4. Step 4: Simplify right side
    187,876x = 79,428,148,900
  5. Step 5: Solve for x
    x = 79,428,148,900/187,876
  6. Step 6: Final answer
    x = 422,769.00

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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.