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Finding the Third Proportional to 184,900 and 270,768

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Solution

The third proportional to 184,900 and 270,768 is: 396,513.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,900 : 270,768 = 270,768 : x
  2. Step 2: Convert to fraction form
    184,900/270,768 = 270,768/x
  3. Step 3: Cross multiply
    184,900x = 270,768 × 270,768
  4. Step 4: Simplify right side
    184,900x = 73,315,309,824
  5. Step 5: Solve for x
    x = 73,315,309,824/184,900
  6. Step 6: Final answer
    x = 396,513.30

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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.