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Finding the Third Proportional to 230,892 and 347,010

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Solution

The third proportional to 230,892 and 347,010 is: 521,524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,892 : 347,010 = 347,010 : x
  2. Step 2: Convert to fraction form
    230,892/347,010 = 347,010/x
  3. Step 3: Cross multiply
    230,892x = 347,010 × 347,010
  4. Step 4: Simplify right side
    230,892x = 120,415,940,100
  5. Step 5: Solve for x
    x = 120,415,940,100/230,892
  6. Step 6: Final answer
    x = 521,524.96

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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.