Finding the Third Proportional to 296 and 438
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Solution
The third proportional to 296 and 438 is: 648.12
Step by Step Solution
- Step 1: Write the proportion equation
296 : 438 = 438 : x - Step 2: Convert to fraction form
296/438 = 438/x - Step 3: Cross multiply
296x = 438 × 438 - Step 4: Simplify right side
296x = 191,844 - Step 5: Solve for x
x = 191,844/296 - Step 6: Final answer
x = 648.12
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Why These Related Problems?
These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.