Finding the Third Proportional to 667 and 1,180
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Solution
The third proportional to 667 and 1,180 is: 2,087.56
Step by Step Solution
- Step 1: Write the proportion equation
667 : 1,180 = 1,180 : x - Step 2: Convert to fraction form
667/1,180 = 1,180/x - Step 3: Cross multiply
667x = 1,180 × 1,180 - Step 4: Simplify right side
667x = 1,392,400 - Step 5: Solve for x
x = 1,392,400/667 - Step 6: Final answer
x = 2,087.56
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These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.