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Finding the Third Proportional to 104,616 and 226,940

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Solution

The third proportional to 104,616 and 226,940 is: 492,293.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,616 : 226,940 = 226,940 : x
  2. Step 2: Convert to fraction form
    104,616/226,940 = 226,940/x
  3. Step 3: Cross multiply
    104,616x = 226,940 × 226,940
  4. Step 4: Simplify right side
    104,616x = 51,501,763,600
  5. Step 5: Solve for x
    x = 51,501,763,600/104,616
  6. Step 6: Final answer
    x = 492,293.37

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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.