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Finding the Third Proportional to 161,589 and 347,166

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Solution

The third proportional to 161,589 and 347,166 is: 745,869.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,589 : 347,166 = 347,166 : x
  2. Step 2: Convert to fraction form
    161,589/347,166 = 347,166/x
  3. Step 3: Cross multiply
    161,589x = 347,166 × 347,166
  4. Step 4: Simplify right side
    161,589x = 120,524,231,556
  5. Step 5: Solve for x
    x = 120,524,231,556/161,589
  6. Step 6: Final answer
    x = 745,869.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.