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Finding the Third Proportional to 110,704 and 229,285

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Solution

The third proportional to 110,704 and 229,285 is: 474,884.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,704 : 229,285 = 229,285 : x
  2. Step 2: Convert to fraction form
    110,704/229,285 = 229,285/x
  3. Step 3: Cross multiply
    110,704x = 229,285 × 229,285
  4. Step 4: Simplify right side
    110,704x = 52,571,611,225
  5. Step 5: Solve for x
    x = 52,571,611,225/110,704
  6. Step 6: Final answer
    x = 474,884.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.