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Finding the Third Proportional to 185,742 and 270,828

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Solution

The third proportional to 185,742 and 270,828 is: 394,890.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,742 : 270,828 = 270,828 : x
  2. Step 2: Convert to fraction form
    185,742/270,828 = 270,828/x
  3. Step 3: Cross multiply
    185,742x = 270,828 × 270,828
  4. Step 4: Simplify right side
    185,742x = 73,347,805,584
  5. Step 5: Solve for x
    x = 73,347,805,584/185,742
  6. Step 6: Final answer
    x = 394,890.79

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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.