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Finding the Third Proportional to 104,084 and 225,538

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Solution

The third proportional to 104,084 and 225,538 is: 488,714.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,084 : 225,538 = 225,538 : x
  2. Step 2: Convert to fraction form
    104,084/225,538 = 225,538/x
  3. Step 3: Cross multiply
    104,084x = 225,538 × 225,538
  4. Step 4: Simplify right side
    104,084x = 50,867,389,444
  5. Step 5: Solve for x
    x = 50,867,389,444/104,084
  6. Step 6: Final answer
    x = 488,714.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.