Finding the Third Proportional to 189 and 276.75
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Solution
The third proportional to 189 and 276.75 is: 405.24
Step by Step Solution
- Step 1: Write the proportion equation
189 : 276.75 = 276.75 : x - Step 2: Convert to fraction form
189/276.75 = 276.75/x - Step 3: Cross multiply
189x = 276.75 × 276.75 - Step 4: Simplify right side
189x = 76,590.56 - Step 5: Solve for x
x = 76,590.56/189 - Step 6: Final answer
x = 405.24
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.