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Finding the Third Proportional to 171,198 and 347,580

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Solution

The third proportional to 171,198 and 347,580 is: 705,684.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,198 : 347,580 = 347,580 : x
  2. Step 2: Convert to fraction form
    171,198/347,580 = 347,580/x
  3. Step 3: Cross multiply
    171,198x = 347,580 × 347,580
  4. Step 4: Simplify right side
    171,198x = 120,811,856,400
  5. Step 5: Solve for x
    x = 120,811,856,400/171,198
  6. Step 6: Final answer
    x = 705,684.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.