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Finding the Third Proportional to 177,149 and 377,950

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Solution

The third proportional to 177,149 and 377,950 is: 806,361.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,149 : 377,950 = 377,950 : x
  2. Step 2: Convert to fraction form
    177,149/377,950 = 377,950/x
  3. Step 3: Cross multiply
    177,149x = 377,950 × 377,950
  4. Step 4: Simplify right side
    177,149x = 142,846,202,500
  5. Step 5: Solve for x
    x = 142,846,202,500/177,149
  6. Step 6: Final answer
    x = 806,361.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.