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Finding the Third Proportional to 230,823 and 347,753.25

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Solution

The third proportional to 230,823 and 347,753.25 is: 523,917.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,823 : 347,753.25 = 347,753.25 : x
  2. Step 2: Convert to fraction form
    230,823/347,753.25 = 347,753.25/x
  3. Step 3: Cross multiply
    230,823x = 347,753.25 × 347,753.25
  4. Step 4: Simplify right side
    230,823x = 120,932,322,885.56
  5. Step 5: Solve for x
    x = 120,932,322,885.56/230,823
  6. Step 6: Final answer
    x = 523,917.99

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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.