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Finding the Third Proportional to 104,596 and 227,324

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Solution

The third proportional to 104,596 and 227,324 is: 494,055.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,596 : 227,324 = 227,324 : x
  2. Step 2: Convert to fraction form
    104,596/227,324 = 227,324/x
  3. Step 3: Cross multiply
    104,596x = 227,324 × 227,324
  4. Step 4: Simplify right side
    104,596x = 51,676,200,976
  5. Step 5: Solve for x
    x = 51,676,200,976/104,596
  6. Step 6: Final answer
    x = 494,055.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.