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Finding the Third Proportional to 138,927 and 303,540.75

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Solution

The third proportional to 138,927 and 303,540.75 is: 663,204.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,927 : 303,540.75 = 303,540.75 : x
  2. Step 2: Convert to fraction form
    138,927/303,540.75 = 303,540.75/x
  3. Step 3: Cross multiply
    138,927x = 303,540.75 × 303,540.75
  4. Step 4: Simplify right side
    138,927x = 92,136,986,910.56
  5. Step 5: Solve for x
    x = 92,136,986,910.56/138,927
  6. Step 6: Final answer
    x = 663,204.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.