Finding the Third Proportional to 209,156 and 459,314
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Solution
The third proportional to 209,156 and 459,314 is: 1,008,669.85
Step by Step Solution
- Step 1: Write the proportion equation
209,156 : 459,314 = 459,314 : x - Step 2: Convert to fraction form
209,156/459,314 = 459,314/x - Step 3: Cross multiply
209,156x = 459,314 × 459,314 - Step 4: Simplify right side
209,156x = 210,969,350,596 - Step 5: Solve for x
x = 210,969,350,596/209,156 - Step 6: Final answer
x = 1,008,669.85
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.