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Finding the Third Proportional to 104,790 and 226,194

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Solution

The third proportional to 104,790 and 226,194 is: 488,250.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,790 : 226,194 = 226,194 : x
  2. Step 2: Convert to fraction form
    104,790/226,194 = 226,194/x
  3. Step 3: Cross multiply
    104,790x = 226,194 × 226,194
  4. Step 4: Simplify right side
    104,790x = 51,163,725,636
  5. Step 5: Solve for x
    x = 51,163,725,636/104,790
  6. Step 6: Final answer
    x = 488,250.08

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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.