Finding the Third Proportional to 189,182 and 282,131
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Solution
The third proportional to 189,182 and 282,131 is: 420,747.75
Step by Step Solution
- Step 1: Write the proportion equation
189,182 : 282,131 = 282,131 : x - Step 2: Convert to fraction form
189,182/282,131 = 282,131/x - Step 3: Cross multiply
189,182x = 282,131 × 282,131 - Step 4: Simplify right side
189,182x = 79,597,901,161 - Step 5: Solve for x
x = 79,597,901,161/189,182 - Step 6: Final answer
x = 420,747.75
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.