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Finding the Third Proportional to 104,241 and 227,598

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Solution

The third proportional to 104,241 and 227,598 is: 496,933.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,241 : 227,598 = 227,598 : x
  2. Step 2: Convert to fraction form
    104,241/227,598 = 227,598/x
  3. Step 3: Cross multiply
    104,241x = 227,598 × 227,598
  4. Step 4: Simplify right side
    104,241x = 51,800,849,604
  5. Step 5: Solve for x
    x = 51,800,849,604/104,241
  6. Step 6: Final answer
    x = 496,933.54

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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.