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Finding the Third Proportional to 185,118 and 270,765

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Solution

The third proportional to 185,118 and 270,765 is: 396,037.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,118 : 270,765 = 270,765 : x
  2. Step 2: Convert to fraction form
    185,118/270,765 = 270,765/x
  3. Step 3: Cross multiply
    185,118x = 270,765 × 270,765
  4. Step 4: Simplify right side
    185,118x = 73,313,685,225
  5. Step 5: Solve for x
    x = 73,313,685,225/185,118
  6. Step 6: Final answer
    x = 396,037.58

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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.