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Finding the Third Proportional to 102,498 and 225,175

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Solution

The third proportional to 102,498 and 225,175 is: 494,680.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,498 : 225,175 = 225,175 : x
  2. Step 2: Convert to fraction form
    102,498/225,175 = 225,175/x
  3. Step 3: Cross multiply
    102,498x = 225,175 × 225,175
  4. Step 4: Simplify right side
    102,498x = 50,703,780,625
  5. Step 5: Solve for x
    x = 50,703,780,625/102,498
  6. Step 6: Final answer
    x = 494,680.68

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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.