Finding the Third Proportional to 264 and 310
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Solution
The third proportional to 264 and 310 is: 364.02
Step by Step Solution
- Step 1: Write the proportion equation
264 : 310 = 310 : x - Step 2: Convert to fraction form
264/310 = 310/x - Step 3: Cross multiply
264x = 310 × 310 - Step 4: Simplify right side
264x = 96,100 - Step 5: Solve for x
x = 96,100/264 - Step 6: Final answer
x = 364.02
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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.