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Finding the Third Proportional to 230,769 and 354,231

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Solution

The third proportional to 230,769 and 354,231 is: 543,745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,769 : 354,231 = 354,231 : x
  2. Step 2: Convert to fraction form
    230,769/354,231 = 354,231/x
  3. Step 3: Cross multiply
    230,769x = 354,231 × 354,231
  4. Step 4: Simplify right side
    230,769x = 125,479,601,361
  5. Step 5: Solve for x
    x = 125,479,601,361/230,769
  6. Step 6: Final answer
    x = 543,745.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.