Finding the Third Proportional to 206 and 248
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Solution
The third proportional to 206 and 248 is: 298.56
Step by Step Solution
- Step 1: Write the proportion equation
206 : 248 = 248 : x - Step 2: Convert to fraction form
206/248 = 248/x - Step 3: Cross multiply
206x = 248 × 248 - Step 4: Simplify right side
206x = 61,504 - Step 5: Solve for x
x = 61,504/206 - Step 6: Final answer
x = 298.56
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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.