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Finding the Third Proportional to 195,972 and 293,193

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Solution

The third proportional to 195,972 and 293,193 is: 438,644.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,972 : 293,193 = 293,193 : x
  2. Step 2: Convert to fraction form
    195,972/293,193 = 293,193/x
  3. Step 3: Cross multiply
    195,972x = 293,193 × 293,193
  4. Step 4: Simplify right side
    195,972x = 85,962,135,249
  5. Step 5: Solve for x
    x = 85,962,135,249/195,972
  6. Step 6: Final answer
    x = 438,644.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.