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Finding the Third Proportional to 107,438 and 227,682

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Solution

The third proportional to 107,438 and 227,682 is: 482,502.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,438 : 227,682 = 227,682 : x
  2. Step 2: Convert to fraction form
    107,438/227,682 = 227,682/x
  3. Step 3: Cross multiply
    107,438x = 227,682 × 227,682
  4. Step 4: Simplify right side
    107,438x = 51,839,093,124
  5. Step 5: Solve for x
    x = 51,839,093,124/107,438
  6. Step 6: Final answer
    x = 482,502.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.