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Finding the Third Proportional to 225,092.25 and 343,356.75

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Solution

The third proportional to 225,092.25 and 343,356.75 is: 523,757.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,092.25 : 343,356.75 = 343,356.75 : x
  2. Step 2: Convert to fraction form
    225,092.25/343,356.75 = 343,356.75/x
  3. Step 3: Cross multiply
    225,092.25x = 343,356.75 × 343,356.75
  4. Step 4: Simplify right side
    225,092.25x = 117,893,857,770.56
  5. Step 5: Solve for x
    x = 117,893,857,770.56/225,092.25
  6. Step 6: Final answer
    x = 523,757.96

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