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Finding the Third Proportional to 171,174 and 256,792

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Solution

The third proportional to 171,174 and 256,792 is: 385,234.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,174 : 256,792 = 256,792 : x
  2. Step 2: Convert to fraction form
    171,174/256,792 = 256,792/x
  3. Step 3: Cross multiply
    171,174x = 256,792 × 256,792
  4. Step 4: Simplify right side
    171,174x = 65,942,131,264
  5. Step 5: Solve for x
    x = 65,942,131,264/171,174
  6. Step 6: Final answer
    x = 385,234.51

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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.