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Finding the Third Proportional to 225,170 and 347,493

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Solution

The third proportional to 225,170 and 347,493 is: 536,267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,170 : 347,493 = 347,493 : x
  2. Step 2: Convert to fraction form
    225,170/347,493 = 347,493/x
  3. Step 3: Cross multiply
    225,170x = 347,493 × 347,493
  4. Step 4: Simplify right side
    225,170x = 120,751,385,049
  5. Step 5: Solve for x
    x = 120,751,385,049/225,170
  6. Step 6: Final answer
    x = 536,267.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.