Finding the Third Proportional to 198 and 440
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Solution
The third proportional to 198 and 440 is: 977.78
Step by Step Solution
- Step 1: Write the proportion equation
198 : 440 = 440 : x - Step 2: Convert to fraction form
198/440 = 440/x - Step 3: Cross multiply
198x = 440 × 440 - Step 4: Simplify right side
198x = 193,600 - Step 5: Solve for x
x = 193,600/198 - Step 6: Final answer
x = 977.78
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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.