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Finding the Third Proportional to 104,744 and 226,088

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Solution

The third proportional to 104,744 and 226,088 is: 488,006.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,744 : 226,088 = 226,088 : x
  2. Step 2: Convert to fraction form
    104,744/226,088 = 226,088/x
  3. Step 3: Cross multiply
    104,744x = 226,088 × 226,088
  4. Step 4: Simplify right side
    104,744x = 51,115,783,744
  5. Step 5: Solve for x
    x = 51,115,783,744/104,744
  6. Step 6: Final answer
    x = 488,006.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.