Finding the Third Proportional to 176 and 198
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Solution
The third proportional to 176 and 198 is: 222.75
Step by Step Solution
- Step 1: Write the proportion equation
176 : 198 = 198 : x - Step 2: Convert to fraction form
176/198 = 198/x - Step 3: Cross multiply
176x = 198 × 198 - Step 4: Simplify right side
176x = 39,204 - Step 5: Solve for x
x = 39,204/176 - Step 6: Final answer
x = 222.75
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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.