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Finding the Third Proportional to 184,743 and 270,533

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Solution

The third proportional to 184,743 and 270,533 is: 396,161.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,743 : 270,533 = 270,533 : x
  2. Step 2: Convert to fraction form
    184,743/270,533 = 270,533/x
  3. Step 3: Cross multiply
    184,743x = 270,533 × 270,533
  4. Step 4: Simplify right side
    184,743x = 73,188,104,089
  5. Step 5: Solve for x
    x = 73,188,104,089/184,743
  6. Step 6: Final answer
    x = 396,161.72

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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.