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Finding the Third Proportional to 183.63 and 382.38

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Solution

The third proportional to 183.63 and 382.38 is: 796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.63 : 382.38 = 382.38 : x
  2. Step 2: Convert to fraction form
    183.63/382.38 = 382.38/x
  3. Step 3: Cross multiply
    183.63x = 382.38 × 382.38
  4. Step 4: Simplify right side
    183.63x = 146,210.64
  5. Step 5: Solve for x
    x = 146,210.64/183.63
  6. Step 6: Final answer
    x = 796.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.