Finding the Third Proportional to 266 and 314
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Solution
The third proportional to 266 and 314 is: 370.66
Step by Step Solution
- Step 1: Write the proportion equation
266 : 314 = 314 : x - Step 2: Convert to fraction form
266/314 = 314/x - Step 3: Cross multiply
266x = 314 × 314 - Step 4: Simplify right side
266x = 98,596 - Step 5: Solve for x
x = 98,596/266 - Step 6: Final answer
x = 370.66
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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.