Finding the Third Proportional to 296 and 394
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Solution
The third proportional to 296 and 394 is: 524.45
Step by Step Solution
- Step 1: Write the proportion equation
296 : 394 = 394 : x - Step 2: Convert to fraction form
296/394 = 394/x - Step 3: Cross multiply
296x = 394 × 394 - Step 4: Simplify right side
296x = 155,236 - Step 5: Solve for x
x = 155,236/296 - Step 6: Final answer
x = 524.45
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.