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Finding the Third Proportional to 182,916 and 274,861

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Solution

The third proportional to 182,916 and 274,861 is: 413,023.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,916 : 274,861 = 274,861 : x
  2. Step 2: Convert to fraction form
    182,916/274,861 = 274,861/x
  3. Step 3: Cross multiply
    182,916x = 274,861 × 274,861
  4. Step 4: Simplify right side
    182,916x = 75,548,569,321
  5. Step 5: Solve for x
    x = 75,548,569,321/182,916
  6. Step 6: Final answer
    x = 413,023.30

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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.