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Finding the Third Proportional to 230,821 and 347,750

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Solution

The third proportional to 230,821 and 347,750 is: 523,912.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,821 : 347,750 = 347,750 : x
  2. Step 2: Convert to fraction form
    230,821/347,750 = 347,750/x
  3. Step 3: Cross multiply
    230,821x = 347,750 × 347,750
  4. Step 4: Simplify right side
    230,821x = 120,930,062,500
  5. Step 5: Solve for x
    x = 120,930,062,500/230,821
  6. Step 6: Final answer
    x = 523,912.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.