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Finding the Third Proportional to 171,177 and 247,965

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Solution

The third proportional to 171,177 and 247,965 is: 359,199.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,177 : 247,965 = 247,965 : x
  2. Step 2: Convert to fraction form
    171,177/247,965 = 247,965/x
  3. Step 3: Cross multiply
    171,177x = 247,965 × 247,965
  4. Step 4: Simplify right side
    171,177x = 61,486,641,225
  5. Step 5: Solve for x
    x = 61,486,641,225/171,177
  6. Step 6: Final answer
    x = 359,199.20

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.