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Finding the Third Proportional to 225,695 and 342,975

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Solution

The third proportional to 225,695 and 342,975 is: 521,198.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,695 : 342,975 = 342,975 : x
  2. Step 2: Convert to fraction form
    225,695/342,975 = 342,975/x
  3. Step 3: Cross multiply
    225,695x = 342,975 × 342,975
  4. Step 4: Simplify right side
    225,695x = 117,631,850,625
  5. Step 5: Solve for x
    x = 117,631,850,625/225,695
  6. Step 6: Final answer
    x = 521,198.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.