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Finding the Third Proportional to 183.66 and 350.30

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Solution

The third proportional to 183.66 and 350.30 is: 668.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.66 : 350.30 = 350.30 : x
  2. Step 2: Convert to fraction form
    183.66/350.30 = 350.30/x
  3. Step 3: Cross multiply
    183.66x = 350.30 × 350.30
  4. Step 4: Simplify right side
    183.66x = 122,707.90
  5. Step 5: Solve for x
    x = 122,707.90/183.66
  6. Step 6: Final answer
    x = 668.14

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.