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Finding the Third Proportional to 129,037 and 303,633

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Solution

The third proportional to 129,037 and 303,633 is: 714,469.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,037 : 303,633 = 303,633 : x
  2. Step 2: Convert to fraction form
    129,037/303,633 = 303,633/x
  3. Step 3: Cross multiply
    129,037x = 303,633 × 303,633
  4. Step 4: Simplify right side
    129,037x = 92,192,998,689
  5. Step 5: Solve for x
    x = 92,192,998,689/129,037
  6. Step 6: Final answer
    x = 714,469.48

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.