Finding the Third Proportional to 198 and 386
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Solution
The third proportional to 198 and 386 is: 752.51
Step by Step Solution
- Step 1: Write the proportion equation
198 : 386 = 386 : x - Step 2: Convert to fraction form
198/386 = 386/x - Step 3: Cross multiply
198x = 386 × 386 - Step 4: Simplify right side
198x = 148,996 - Step 5: Solve for x
x = 148,996/198 - Step 6: Final answer
x = 752.51
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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.