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Finding the Third Proportional to 137,960 and 303,016

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Solution

The third proportional to 137,960 and 303,016 is: 665,545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,960 : 303,016 = 303,016 : x
  2. Step 2: Convert to fraction form
    137,960/303,016 = 303,016/x
  3. Step 3: Cross multiply
    137,960x = 303,016 × 303,016
  4. Step 4: Simplify right side
    137,960x = 91,818,696,256
  5. Step 5: Solve for x
    x = 91,818,696,256/137,960
  6. Step 6: Final answer
    x = 665,545.78

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.