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Finding the Third Proportional to 104,279 and 229,294

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Solution

The third proportional to 104,279 and 229,294 is: 504,183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,279 : 229,294 = 229,294 : x
  2. Step 2: Convert to fraction form
    104,279/229,294 = 229,294/x
  3. Step 3: Cross multiply
    104,279x = 229,294 × 229,294
  4. Step 4: Simplify right side
    104,279x = 52,575,738,436
  5. Step 5: Solve for x
    x = 52,575,738,436/104,279
  6. Step 6: Final answer
    x = 504,183.38

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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.