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Finding the Third Proportional to 137,236 and 300,744

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Solution

The third proportional to 137,236 and 300,744 is: 659,061.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,236 : 300,744 = 300,744 : x
  2. Step 2: Convert to fraction form
    137,236/300,744 = 300,744/x
  3. Step 3: Cross multiply
    137,236x = 300,744 × 300,744
  4. Step 4: Simplify right side
    137,236x = 90,446,953,536
  5. Step 5: Solve for x
    x = 90,446,953,536/137,236
  6. Step 6: Final answer
    x = 659,061.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.