Finding the Third Proportional to 132.25 and 178.75
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Solution
The third proportional to 132.25 and 178.75 is: 241.60
Step by Step Solution
- Step 1: Write the proportion equation
132.25 : 178.75 = 178.75 : x - Step 2: Convert to fraction form
132.25/178.75 = 178.75/x - Step 3: Cross multiply
132.25x = 178.75 × 178.75 - Step 4: Simplify right side
132.25x = 31,951.56 - Step 5: Solve for x
x = 31,951.56/132.25 - Step 6: Final answer
x = 241.60
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.