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Finding the Third Proportional to 194,660 and 281,302

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Solution

The third proportional to 194,660 and 281,302 is: 406,507.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,660 : 281,302 = 281,302 : x
  2. Step 2: Convert to fraction form
    194,660/281,302 = 281,302/x
  3. Step 3: Cross multiply
    194,660x = 281,302 × 281,302
  4. Step 4: Simplify right side
    194,660x = 79,130,815,204
  5. Step 5: Solve for x
    x = 79,130,815,204/194,660
  6. Step 6: Final answer
    x = 406,507.84

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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.