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Finding the Third Proportional to 152,874 and 335,636

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Solution

The third proportional to 152,874 and 335,636 is: 736,891.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,874 : 335,636 = 335,636 : x
  2. Step 2: Convert to fraction form
    152,874/335,636 = 335,636/x
  3. Step 3: Cross multiply
    152,874x = 335,636 × 335,636
  4. Step 4: Simplify right side
    152,874x = 112,651,524,496
  5. Step 5: Solve for x
    x = 112,651,524,496/152,874
  6. Step 6: Final answer
    x = 736,891.33

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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.