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Finding the Third Proportional to 104,241 and 227,596

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Solution

The third proportional to 104,241 and 227,596 is: 496,924.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,241 : 227,596 = 227,596 : x
  2. Step 2: Convert to fraction form
    104,241/227,596 = 227,596/x
  3. Step 3: Cross multiply
    104,241x = 227,596 × 227,596
  4. Step 4: Simplify right side
    104,241x = 51,799,939,216
  5. Step 5: Solve for x
    x = 51,799,939,216/104,241
  6. Step 6: Final answer
    x = 496,924.81

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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.