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Finding the Third Proportional to 215,158 and 454,941

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Solution

The third proportional to 215,158 and 454,941 is: 961,950.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,158 : 454,941 = 454,941 : x
  2. Step 2: Convert to fraction form
    215,158/454,941 = 454,941/x
  3. Step 3: Cross multiply
    215,158x = 454,941 × 454,941
  4. Step 4: Simplify right side
    215,158x = 206,971,313,481
  5. Step 5: Solve for x
    x = 206,971,313,481/215,158
  6. Step 6: Final answer
    x = 961,950.35

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