Finding the Third Proportional to 1,180 and 2,273
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Solution
The third proportional to 1,180 and 2,273 is: 4,378.41
Step by Step Solution
- Step 1: Write the proportion equation
1,180 : 2,273 = 2,273 : x - Step 2: Convert to fraction form
1,180/2,273 = 2,273/x - Step 3: Cross multiply
1,180x = 2,273 × 2,273 - Step 4: Simplify right side
1,180x = 5,166,529 - Step 5: Solve for x
x = 5,166,529/1,180 - Step 6: Final answer
x = 4,378.41
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These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.