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Finding the Third Proportional to 105,204 and 226,448

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Solution

The third proportional to 105,204 and 226,448 is: 487,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,204 : 226,448 = 226,448 : x
  2. Step 2: Convert to fraction form
    105,204/226,448 = 226,448/x
  3. Step 3: Cross multiply
    105,204x = 226,448 × 226,448
  4. Step 4: Simplify right side
    105,204x = 51,278,696,704
  5. Step 5: Solve for x
    x = 51,278,696,704/105,204
  6. Step 6: Final answer
    x = 487,421.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.