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Finding the Third Proportional to 114,676 and 177,198

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Solution

The third proportional to 114,676 and 177,198 is: 273,807.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,676 : 177,198 = 177,198 : x
  2. Step 2: Convert to fraction form
    114,676/177,198 = 177,198/x
  3. Step 3: Cross multiply
    114,676x = 177,198 × 177,198
  4. Step 4: Simplify right side
    114,676x = 31,399,131,204
  5. Step 5: Solve for x
    x = 31,399,131,204/114,676
  6. Step 6: Final answer
    x = 273,807.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.