Finding the Third Proportional to 206 and 226
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Solution
The third proportional to 206 and 226 is: 247.94
Step by Step Solution
- Step 1: Write the proportion equation
206 : 226 = 226 : x - Step 2: Convert to fraction form
206/226 = 226/x - Step 3: Cross multiply
206x = 226 × 226 - Step 4: Simplify right side
206x = 51,076 - Step 5: Solve for x
x = 51,076/206 - Step 6: Final answer
x = 247.94
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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.