Finding the Third Proportional to 198 and 328
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Solution
The third proportional to 198 and 328 is: 543.35
Step by Step Solution
- Step 1: Write the proportion equation
198 : 328 = 328 : x - Step 2: Convert to fraction form
198/328 = 328/x - Step 3: Cross multiply
198x = 328 × 328 - Step 4: Simplify right side
198x = 107,584 - Step 5: Solve for x
x = 107,584/198 - Step 6: Final answer
x = 543.35
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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.