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Finding the Third Proportional to 225,089.44 and 343,350.56

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Solution

The third proportional to 225,089.44 and 343,350.56 is: 523,745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,089.44 : 343,350.56 = 343,350.56 : x
  2. Step 2: Convert to fraction form
    225,089.44/343,350.56 = 343,350.56/x
  3. Step 3: Cross multiply
    225,089.44x = 343,350.56 × 343,350.56
  4. Step 4: Simplify right side
    225,089.44x = 117,889,608,769.07
  5. Step 5: Solve for x
    x = 117,889,608,769.07/225,089.44
  6. Step 6: Final answer
    x = 523,745.63

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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.