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Finding the Third Proportional to 103,682 and 227,620

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Solution

The third proportional to 103,682 and 227,620 is: 499,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,682 : 227,620 = 227,620 : x
  2. Step 2: Convert to fraction form
    103,682/227,620 = 227,620/x
  3. Step 3: Cross multiply
    103,682x = 227,620 × 227,620
  4. Step 4: Simplify right side
    103,682x = 51,810,864,400
  5. Step 5: Solve for x
    x = 51,810,864,400/103,682
  6. Step 6: Final answer
    x = 499,709.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.