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Finding the Third Proportional to 192,852 and 281,738.25

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Solution

The third proportional to 192,852 and 281,738.25 is: 411,592.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,852 : 281,738.25 = 281,738.25 : x
  2. Step 2: Convert to fraction form
    192,852/281,738.25 = 281,738.25/x
  3. Step 3: Cross multiply
    192,852x = 281,738.25 × 281,738.25
  4. Step 4: Simplify right side
    192,852x = 79,376,441,513.06
  5. Step 5: Solve for x
    x = 79,376,441,513.06/192,852
  6. Step 6: Final answer
    x = 411,592.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.