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Finding the Third Proportional to 231,927 and 338,049

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Solution

The third proportional to 231,927 and 338,049 is: 492,728.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,927 : 338,049 = 338,049 : x
  2. Step 2: Convert to fraction form
    231,927/338,049 = 338,049/x
  3. Step 3: Cross multiply
    231,927x = 338,049 × 338,049
  4. Step 4: Simplify right side
    231,927x = 114,277,126,401
  5. Step 5: Solve for x
    x = 114,277,126,401/231,927
  6. Step 6: Final answer
    x = 492,728.86

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.