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Finding the Third Proportional to 84,567 and 171,456

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Solution

The third proportional to 84,567 and 171,456 is: 347,619.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,567 : 171,456 = 171,456 : x
  2. Step 2: Convert to fraction form
    84,567/171,456 = 171,456/x
  3. Step 3: Cross multiply
    84,567x = 171,456 × 171,456
  4. Step 4: Simplify right side
    84,567x = 29,397,159,936
  5. Step 5: Solve for x
    x = 29,397,159,936/84,567
  6. Step 6: Final answer
    x = 347,619.76

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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.