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Finding the Third Proportional to 137,974 and 303,042

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Solution

The third proportional to 137,974 and 303,042 is: 665,592.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,974 : 303,042 = 303,042 : x
  2. Step 2: Convert to fraction form
    137,974/303,042 = 303,042/x
  3. Step 3: Cross multiply
    137,974x = 303,042 × 303,042
  4. Step 4: Simplify right side
    137,974x = 91,834,453,764
  5. Step 5: Solve for x
    x = 91,834,453,764/137,974
  6. Step 6: Final answer
    x = 665,592.46

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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.