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Finding the Third Proportional to 182,916 and 274,860

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Solution

The third proportional to 182,916 and 274,860 is: 413,020.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,916 : 274,860 = 274,860 : x
  2. Step 2: Convert to fraction form
    182,916/274,860 = 274,860/x
  3. Step 3: Cross multiply
    182,916x = 274,860 × 274,860
  4. Step 4: Simplify right side
    182,916x = 75,548,019,600
  5. Step 5: Solve for x
    x = 75,548,019,600/182,916
  6. Step 6: Final answer
    x = 413,020.29

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Why These Related Problems?

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