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Finding the Third Proportional to 188,771 and 419,500

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Solution

The third proportional to 188,771 and 419,500 is: 932,241.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,771 : 419,500 = 419,500 : x
  2. Step 2: Convert to fraction form
    188,771/419,500 = 419,500/x
  3. Step 3: Cross multiply
    188,771x = 419,500 × 419,500
  4. Step 4: Simplify right side
    188,771x = 175,980,250,000
  5. Step 5: Solve for x
    x = 175,980,250,000/188,771
  6. Step 6: Final answer
    x = 932,241.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.