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Finding the Third Proportional to 104,367 and 228,425

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Solution

The third proportional to 104,367 and 228,425 is: 499,947.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,367 : 228,425 = 228,425 : x
  2. Step 2: Convert to fraction form
    104,367/228,425 = 228,425/x
  3. Step 3: Cross multiply
    104,367x = 228,425 × 228,425
  4. Step 4: Simplify right side
    104,367x = 52,177,980,625
  5. Step 5: Solve for x
    x = 52,177,980,625/104,367
  6. Step 6: Final answer
    x = 499,947.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.