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Finding the Third Proportional to 211,731 and 454,161

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Solution

The third proportional to 211,731 and 454,161 is: 974,171.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,731 : 454,161 = 454,161 : x
  2. Step 2: Convert to fraction form
    211,731/454,161 = 454,161/x
  3. Step 3: Cross multiply
    211,731x = 454,161 × 454,161
  4. Step 4: Simplify right side
    211,731x = 206,262,213,921
  5. Step 5: Solve for x
    x = 206,262,213,921/211,731
  6. Step 6: Final answer
    x = 974,171.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.