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Finding the Third Proportional to 183.19 and 369.38

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Solution

The third proportional to 183.19 and 369.38 is: 744.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.19 : 369.38 = 369.38 : x
  2. Step 2: Convert to fraction form
    183.19/369.38 = 369.38/x
  3. Step 3: Cross multiply
    183.19x = 369.38 × 369.38
  4. Step 4: Simplify right side
    183.19x = 136,437.89
  5. Step 5: Solve for x
    x = 136,437.89/183.19
  6. Step 6: Final answer
    x = 744.80

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.