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Finding the Third Proportional to 104,360 and 225,736

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Solution

The third proportional to 104,360 and 225,736 is: 488,278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,360 : 225,736 = 225,736 : x
  2. Step 2: Convert to fraction form
    104,360/225,736 = 225,736/x
  3. Step 3: Cross multiply
    104,360x = 225,736 × 225,736
  4. Step 4: Simplify right side
    104,360x = 50,956,741,696
  5. Step 5: Solve for x
    x = 50,956,741,696/104,360
  6. Step 6: Final answer
    x = 488,278.48

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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.