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Finding the Third Proportional to 195,960 and 293,177

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Solution

The third proportional to 195,960 and 293,177 is: 438,623.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,960 : 293,177 = 293,177 : x
  2. Step 2: Convert to fraction form
    195,960/293,177 = 293,177/x
  3. Step 3: Cross multiply
    195,960x = 293,177 × 293,177
  4. Step 4: Simplify right side
    195,960x = 85,952,753,329
  5. Step 5: Solve for x
    x = 85,952,753,329/195,960
  6. Step 6: Final answer
    x = 438,623.97

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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.