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Finding the Third Proportional to 184,751 and 270,545

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Solution

The third proportional to 184,751 and 270,545 is: 396,179.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,751 : 270,545 = 270,545 : x
  2. Step 2: Convert to fraction form
    184,751/270,545 = 270,545/x
  3. Step 3: Cross multiply
    184,751x = 270,545 × 270,545
  4. Step 4: Simplify right side
    184,751x = 73,194,597,025
  5. Step 5: Solve for x
    x = 73,194,597,025/184,751
  6. Step 6: Final answer
    x = 396,179.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.