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Finding the Third Proportional to 104,896 and 227,296

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Solution

The third proportional to 104,896 and 227,296 is: 492,520.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,896 : 227,296 = 227,296 : x
  2. Step 2: Convert to fraction form
    104,896/227,296 = 227,296/x
  3. Step 3: Cross multiply
    104,896x = 227,296 × 227,296
  4. Step 4: Simplify right side
    104,896x = 51,663,471,616
  5. Step 5: Solve for x
    x = 51,663,471,616/104,896
  6. Step 6: Final answer
    x = 492,520.89

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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.