Finding the Third Proportional to 195.75 and 296.75
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Solution
The third proportional to 195.75 and 296.75 is: 449.86
Step by Step Solution
- Step 1: Write the proportion equation
195.75 : 296.75 = 296.75 : x - Step 2: Convert to fraction form
195.75/296.75 = 296.75/x - Step 3: Cross multiply
195.75x = 296.75 × 296.75 - Step 4: Simplify right side
195.75x = 88,060.56 - Step 5: Solve for x
x = 88,060.56/195.75 - Step 6: Final answer
x = 449.86
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.