Finding the Third Proportional to 83.25 and 182.25
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Solution
The third proportional to 83.25 and 182.25 is: 398.98
Step by Step Solution
- Step 1: Write the proportion equation
83.25 : 182.25 = 182.25 : x - Step 2: Convert to fraction form
83.25/182.25 = 182.25/x - Step 3: Cross multiply
83.25x = 182.25 × 182.25 - Step 4: Simplify right side
83.25x = 33,215.06 - Step 5: Solve for x
x = 33,215.06/83.25 - Step 6: Final answer
x = 398.98
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.