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Finding the Third Proportional to 104,460.75 and 225,546.75

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Solution

The third proportional to 104,460.75 and 225,546.75 is: 486,989.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,460.75 : 225,546.75 = 225,546.75 : x
  2. Step 2: Convert to fraction form
    104,460.75/225,546.75 = 225,546.75/x
  3. Step 3: Cross multiply
    104,460.75x = 225,546.75 × 225,546.75
  4. Step 4: Simplify right side
    104,460.75x = 50,871,336,435.56
  5. Step 5: Solve for x
    x = 50,871,336,435.56/104,460.75
  6. Step 6: Final answer
    x = 486,989.96

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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.