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Finding the Third Proportional to 104,456 and 229,648

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Solution

The third proportional to 104,456 and 229,648 is: 504,884.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,456 : 229,648 = 229,648 : x
  2. Step 2: Convert to fraction form
    104,456/229,648 = 229,648/x
  3. Step 3: Cross multiply
    104,456x = 229,648 × 229,648
  4. Step 4: Simplify right side
    104,456x = 52,738,203,904
  5. Step 5: Solve for x
    x = 52,738,203,904/104,456
  6. Step 6: Final answer
    x = 504,884.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.