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Finding the Third Proportional to 193,072.50 and 295,353

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Solution

The third proportional to 193,072.50 and 295,353 is: 451,816.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,072.50 : 295,353 = 295,353 : x
  2. Step 2: Convert to fraction form
    193,072.50/295,353 = 295,353/x
  3. Step 3: Cross multiply
    193,072.50x = 295,353 × 295,353
  4. Step 4: Simplify right side
    193,072.50x = 87,233,394,609
  5. Step 5: Solve for x
    x = 87,233,394,609/193,072.50
  6. Step 6: Final answer
    x = 451,816.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.