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Finding the Third Proportional to 184,932 and 270,814

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Solution

The third proportional to 184,932 and 270,814 is: 396,579.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,932 : 270,814 = 270,814 : x
  2. Step 2: Convert to fraction form
    184,932/270,814 = 270,814/x
  3. Step 3: Cross multiply
    184,932x = 270,814 × 270,814
  4. Step 4: Simplify right side
    184,932x = 73,340,222,596
  5. Step 5: Solve for x
    x = 73,340,222,596/184,932
  6. Step 6: Final answer
    x = 396,579.41

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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.