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Finding the Third Proportional to 103,697 and 225,831

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Solution

The third proportional to 103,697 and 225,831 is: 491,814.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,697 : 225,831 = 225,831 : x
  2. Step 2: Convert to fraction form
    103,697/225,831 = 225,831/x
  3. Step 3: Cross multiply
    103,697x = 225,831 × 225,831
  4. Step 4: Simplify right side
    103,697x = 50,999,640,561
  5. Step 5: Solve for x
    x = 50,999,640,561/103,697
  6. Step 6: Final answer
    x = 491,814.04

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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.