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Finding the Third Proportional to 182,640 and 274,392

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Solution

The third proportional to 182,640 and 274,392 is: 412,237.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,640 : 274,392 = 274,392 : x
  2. Step 2: Convert to fraction form
    182,640/274,392 = 274,392/x
  3. Step 3: Cross multiply
    182,640x = 274,392 × 274,392
  4. Step 4: Simplify right side
    182,640x = 75,290,969,664
  5. Step 5: Solve for x
    x = 75,290,969,664/182,640
  6. Step 6: Final answer
    x = 412,237.02

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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.