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Finding the Third Proportional to 95,240 and 225,635

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Solution

The third proportional to 95,240 and 225,635 is: 534,556.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,240 : 225,635 = 225,635 : x
  2. Step 2: Convert to fraction form
    95,240/225,635 = 225,635/x
  3. Step 3: Cross multiply
    95,240x = 225,635 × 225,635
  4. Step 4: Simplify right side
    95,240x = 50,911,153,225
  5. Step 5: Solve for x
    x = 50,911,153,225/95,240
  6. Step 6: Final answer
    x = 534,556.42

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.