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Finding the Third Proportional to 204,232.50 and 305,118.56

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Solution

The third proportional to 204,232.50 and 305,118.56 is: 455,839.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,232.50 : 305,118.56 = 305,118.56 : x
  2. Step 2: Convert to fraction form
    204,232.50/305,118.56 = 305,118.56/x
  3. Step 3: Cross multiply
    204,232.50x = 305,118.56 × 305,118.56
  4. Step 4: Simplify right side
    204,232.50x = 93,097,337,182.07
  5. Step 5: Solve for x
    x = 93,097,337,182.07/204,232.50
  6. Step 6: Final answer
    x = 455,839.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.