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Finding the Third Proportional to 193,588 and 415,193

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Solution

The third proportional to 193,588 and 415,193 is: 890,474.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,588 : 415,193 = 415,193 : x
  2. Step 2: Convert to fraction form
    193,588/415,193 = 415,193/x
  3. Step 3: Cross multiply
    193,588x = 415,193 × 415,193
  4. Step 4: Simplify right side
    193,588x = 172,385,227,249
  5. Step 5: Solve for x
    x = 172,385,227,249/193,588
  6. Step 6: Final answer
    x = 890,474.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.