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Finding the Third Proportional to 183.19 and 244.31

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Solution

The third proportional to 183.19 and 244.31 is: 325.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.19 : 244.31 = 244.31 : x
  2. Step 2: Convert to fraction form
    183.19/244.31 = 244.31/x
  3. Step 3: Cross multiply
    183.19x = 244.31 × 244.31
  4. Step 4: Simplify right side
    183.19x = 59,688.60
  5. Step 5: Solve for x
    x = 59,688.60/183.19
  6. Step 6: Final answer
    x = 325.83

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.