Finding the Third Proportional to 227 and 446.50
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Solution
The third proportional to 227 and 446.50 is: 878.25
Step by Step Solution
- Step 1: Write the proportion equation
227 : 446.50 = 446.50 : x - Step 2: Convert to fraction form
227/446.50 = 446.50/x - Step 3: Cross multiply
227x = 446.50 × 446.50 - Step 4: Simplify right side
227x = 199,362.25 - Step 5: Solve for x
x = 199,362.25/227 - Step 6: Final answer
x = 878.25
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Why These Related Problems?
These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.