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Finding the Third Proportional to 225,089.72 and 343,351.41

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Solution

The third proportional to 225,089.72 and 343,351.41 is: 523,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,089.72 : 343,351.41 = 343,351.41 : x
  2. Step 2: Convert to fraction form
    225,089.72/343,351.41 = 343,351.41/x
  3. Step 3: Cross multiply
    225,089.72x = 343,351.41 × 343,351.41
  4. Step 4: Simplify right side
    225,089.72x = 117,890,188,173.85
  5. Step 5: Solve for x
    x = 117,890,188,173.85/225,089.72
  6. Step 6: Final answer
    x = 523,747.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.