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Finding the Third Proportional to 194,662 and 281,305

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Solution

The third proportional to 194,662 and 281,305 is: 406,512.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,662 : 281,305 = 281,305 : x
  2. Step 2: Convert to fraction form
    194,662/281,305 = 281,305/x
  3. Step 3: Cross multiply
    194,662x = 281,305 × 281,305
  4. Step 4: Simplify right side
    194,662x = 79,132,503,025
  5. Step 5: Solve for x
    x = 79,132,503,025/194,662
  6. Step 6: Final answer
    x = 406,512.33

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.