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Finding the Third Proportional to 187,089 and 332,619

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Solution

The third proportional to 187,089 and 332,619 is: 591,351.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,089 : 332,619 = 332,619 : x
  2. Step 2: Convert to fraction form
    187,089/332,619 = 332,619/x
  3. Step 3: Cross multiply
    187,089x = 332,619 × 332,619
  4. Step 4: Simplify right side
    187,089x = 110,635,399,161
  5. Step 5: Solve for x
    x = 110,635,399,161/187,089
  6. Step 6: Final answer
    x = 591,351.71

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.