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Finding the Third Proportional to 103,858 and 225,941

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Solution

The third proportional to 103,858 and 225,941 is: 491,530.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,858 : 225,941 = 225,941 : x
  2. Step 2: Convert to fraction form
    103,858/225,941 = 225,941/x
  3. Step 3: Cross multiply
    103,858x = 225,941 × 225,941
  4. Step 4: Simplify right side
    103,858x = 51,049,335,481
  5. Step 5: Solve for x
    x = 51,049,335,481/103,858
  6. Step 6: Final answer
    x = 491,530.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.