Finding the Third Proportional to 184 and 198
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Solution
The third proportional to 184 and 198 is: 213.07
Step by Step Solution
- Step 1: Write the proportion equation
184 : 198 = 198 : x - Step 2: Convert to fraction form
184/198 = 198/x - Step 3: Cross multiply
184x = 198 × 198 - Step 4: Simplify right side
184x = 39,204 - Step 5: Solve for x
x = 39,204/184 - Step 6: Final answer
x = 213.07
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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.