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Finding the Third Proportional to 111,326 and 228,105

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Solution

The third proportional to 111,326 and 228,105 is: 467,383.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,326 : 228,105 = 228,105 : x
  2. Step 2: Convert to fraction form
    111,326/228,105 = 228,105/x
  3. Step 3: Cross multiply
    111,326x = 228,105 × 228,105
  4. Step 4: Simplify right side
    111,326x = 52,031,891,025
  5. Step 5: Solve for x
    x = 52,031,891,025/111,326
  6. Step 6: Final answer
    x = 467,383.10

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.