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Finding the Third Proportional to 151,828 and 332,132

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Solution

The third proportional to 151,828 and 332,132 is: 726,556.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,828 : 332,132 = 332,132 : x
  2. Step 2: Convert to fraction form
    151,828/332,132 = 332,132/x
  3. Step 3: Cross multiply
    151,828x = 332,132 × 332,132
  4. Step 4: Simplify right side
    151,828x = 110,311,665,424
  5. Step 5: Solve for x
    x = 110,311,665,424/151,828
  6. Step 6: Final answer
    x = 726,556.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.