Finding the Third Proportional to 206 and 227.50
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Solution
The third proportional to 206 and 227.50 is: 251.24
Step by Step Solution
- Step 1: Write the proportion equation
206 : 227.50 = 227.50 : x - Step 2: Convert to fraction form
206/227.50 = 227.50/x - Step 3: Cross multiply
206x = 227.50 × 227.50 - Step 4: Simplify right side
206x = 51,756.25 - Step 5: Solve for x
x = 51,756.25/206 - Step 6: Final answer
x = 251.24
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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.