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Finding the Third Proportional to 177,882 and 419,898

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Solution

The third proportional to 177,882 and 419,898 is: 991,187.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,882 : 419,898 = 419,898 : x
  2. Step 2: Convert to fraction form
    177,882/419,898 = 419,898/x
  3. Step 3: Cross multiply
    177,882x = 419,898 × 419,898
  4. Step 4: Simplify right side
    177,882x = 176,314,330,404
  5. Step 5: Solve for x
    x = 176,314,330,404/177,882
  6. Step 6: Final answer
    x = 991,187.03

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.