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Finding the Third Proportional to 215,162 and 454,950

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Solution

The third proportional to 215,162 and 454,950 is: 961,970.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,162 : 454,950 = 454,950 : x
  2. Step 2: Convert to fraction form
    215,162/454,950 = 454,950/x
  3. Step 3: Cross multiply
    215,162x = 454,950 × 454,950
  4. Step 4: Simplify right side
    215,162x = 206,979,502,500
  5. Step 5: Solve for x
    x = 206,979,502,500/215,162
  6. Step 6: Final answer
    x = 961,970.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.