Finding the Third Proportional to 338 and 376
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Solution
The third proportional to 338 and 376 is: 418.27
Step by Step Solution
- Step 1: Write the proportion equation
338 : 376 = 376 : x - Step 2: Convert to fraction form
338/376 = 376/x - Step 3: Cross multiply
338x = 376 × 376 - Step 4: Simplify right side
338x = 141,376 - Step 5: Solve for x
x = 141,376/338 - Step 6: Final answer
x = 418.27
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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.