Finding the Third Proportional to 1,194.75 and 1,687.08
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Solution
The third proportional to 1,194.75 and 1,687.08 is: 2,382.28
Step by Step Solution
- Step 1: Write the proportion equation
1,194.75 : 1,687.08 = 1,687.08 : x - Step 2: Convert to fraction form
1,194.75/1,687.08 = 1,687.08/x - Step 3: Cross multiply
1,194.75x = 1,687.08 × 1,687.08 - Step 4: Simplify right side
1,194.75x = 2,846,232.60 - Step 5: Solve for x
x = 2,846,232.60/1,194.75 - Step 6: Final answer
x = 2,382.28
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.