Finding the Third Proportional to 264 and 496
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Solution
The third proportional to 264 and 496 is: 931.88
Step by Step Solution
- Step 1: Write the proportion equation
264 : 496 = 496 : x - Step 2: Convert to fraction form
264/496 = 496/x - Step 3: Cross multiply
264x = 496 × 496 - Step 4: Simplify right side
264x = 246,016 - Step 5: Solve for x
x = 246,016/264 - Step 6: Final answer
x = 931.88
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Why These Related Problems?
These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.