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Finding the Third Proportional to 161,892 and 347,571

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Solution

The third proportional to 161,892 and 347,571 is: 746,211.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,892 : 347,571 = 347,571 : x
  2. Step 2: Convert to fraction form
    161,892/347,571 = 347,571/x
  3. Step 3: Cross multiply
    161,892x = 347,571 × 347,571
  4. Step 4: Simplify right side
    161,892x = 120,805,600,041
  5. Step 5: Solve for x
    x = 120,805,600,041/161,892
  6. Step 6: Final answer
    x = 746,211.05

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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.