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Finding the Third Proportional to 183.94 and 259.88

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Solution

The third proportional to 183.94 and 259.88 is: 367.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.94 : 259.88 = 259.88 : x
  2. Step 2: Convert to fraction form
    183.94/259.88 = 259.88/x
  3. Step 3: Cross multiply
    183.94x = 259.88 × 259.88
  4. Step 4: Simplify right side
    183.94x = 67,535.02
  5. Step 5: Solve for x
    x = 67,535.02/183.94
  6. Step 6: Final answer
    x = 367.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.