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Finding the Third Proportional to 154,716 and 337,612

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Solution

The third proportional to 154,716 and 337,612 is: 736,716.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,716 : 337,612 = 337,612 : x
  2. Step 2: Convert to fraction form
    154,716/337,612 = 337,612/x
  3. Step 3: Cross multiply
    154,716x = 337,612 × 337,612
  4. Step 4: Simplify right side
    154,716x = 113,981,862,544
  5. Step 5: Solve for x
    x = 113,981,862,544/154,716
  6. Step 6: Final answer
    x = 736,716.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.