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Finding the Third Proportional to 182.25 and 383.48

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Solution

The third proportional to 182.25 and 383.48 is: 806.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.25 : 383.48 = 383.48 : x
  2. Step 2: Convert to fraction form
    182.25/383.48 = 383.48/x
  3. Step 3: Cross multiply
    182.25x = 383.48 × 383.48
  4. Step 4: Simplify right side
    182.25x = 147,060.27
  5. Step 5: Solve for x
    x = 147,060.27/182.25
  6. Step 6: Final answer
    x = 806.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.