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Finding the Third Proportional to 179,500 and 377,936

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Solution

The third proportional to 179,500 and 377,936 is: 795,741.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,500 : 377,936 = 377,936 : x
  2. Step 2: Convert to fraction form
    179,500/377,936 = 377,936/x
  3. Step 3: Cross multiply
    179,500x = 377,936 × 377,936
  4. Step 4: Simplify right side
    179,500x = 142,835,620,096
  5. Step 5: Solve for x
    x = 142,835,620,096/179,500
  6. Step 6: Final answer
    x = 795,741.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.