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Finding the Third Proportional to 193,304 and 281,192

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Solution

The third proportional to 193,304 and 281,192 is: 409,039.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,304 : 281,192 = 281,192 : x
  2. Step 2: Convert to fraction form
    193,304/281,192 = 281,192/x
  3. Step 3: Cross multiply
    193,304x = 281,192 × 281,192
  4. Step 4: Simplify right side
    193,304x = 79,068,940,864
  5. Step 5: Solve for x
    x = 79,068,940,864/193,304
  6. Step 6: Final answer
    x = 409,039.34

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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.