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Finding the Third Proportional to 104,434 and 227,684

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Solution

The third proportional to 104,434 and 227,684 is: 496,390.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,434 : 227,684 = 227,684 : x
  2. Step 2: Convert to fraction form
    104,434/227,684 = 227,684/x
  3. Step 3: Cross multiply
    104,434x = 227,684 × 227,684
  4. Step 4: Simplify right side
    104,434x = 51,840,003,856
  5. Step 5: Solve for x
    x = 51,840,003,856/104,434
  6. Step 6: Final answer
    x = 496,390.10

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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.