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Finding the Third Proportional to 137,869 and 303,673

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Solution

The third proportional to 137,869 and 303,673 is: 668,876.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,869 : 303,673 = 303,673 : x
  2. Step 2: Convert to fraction form
    137,869/303,673 = 303,673/x
  3. Step 3: Cross multiply
    137,869x = 303,673 × 303,673
  4. Step 4: Simplify right side
    137,869x = 92,217,290,929
  5. Step 5: Solve for x
    x = 92,217,290,929/137,869
  6. Step 6: Final answer
    x = 668,876.19

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Why These Related Problems?

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