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Finding the Third Proportional to 107,736 and 229,296

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Solution

The third proportional to 107,736 and 229,296 is: 488,013.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,736 : 229,296 = 229,296 : x
  2. Step 2: Convert to fraction form
    107,736/229,296 = 229,296/x
  3. Step 3: Cross multiply
    107,736x = 229,296 × 229,296
  4. Step 4: Simplify right side
    107,736x = 52,576,655,616
  5. Step 5: Solve for x
    x = 52,576,655,616/107,736
  6. Step 6: Final answer
    x = 488,013.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.