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Finding the Third Proportional to 183.94 and 270.94

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Solution

The third proportional to 183.94 and 270.94 is: 399.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.94 : 270.94 = 270.94 : x
  2. Step 2: Convert to fraction form
    183.94/270.94 = 270.94/x
  3. Step 3: Cross multiply
    183.94x = 270.94 × 270.94
  4. Step 4: Simplify right side
    183.94x = 73,407.13
  5. Step 5: Solve for x
    x = 73,407.13/183.94
  6. Step 6: Final answer
    x = 399.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.