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Finding the Third Proportional to 263,204.44 and 376,391.81

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Solution

The third proportional to 263,204.44 and 376,391.81 is: 538,253.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,204.44 : 376,391.81 = 376,391.81 : x
  2. Step 2: Convert to fraction form
    263,204.44/376,391.81 = 376,391.81/x
  3. Step 3: Cross multiply
    263,204.44x = 376,391.81 × 376,391.81
  4. Step 4: Simplify right side
    263,204.44x = 141,670,796,517.04
  5. Step 5: Solve for x
    x = 141,670,796,517.04/263,204.44
  6. Step 6: Final answer
    x = 538,253.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.