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Finding the Third Proportional to 137,871 and 303,676

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Solution

The third proportional to 137,871 and 303,676 is: 668,879.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,871 : 303,676 = 303,676 : x
  2. Step 2: Convert to fraction form
    137,871/303,676 = 303,676/x
  3. Step 3: Cross multiply
    137,871x = 303,676 × 303,676
  4. Step 4: Simplify right side
    137,871x = 92,219,112,976
  5. Step 5: Solve for x
    x = 92,219,112,976/137,871
  6. Step 6: Final answer
    x = 668,879.70

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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.