Finding the Third Proportional to 211,472 and 311,367
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Solution
The third proportional to 211,472 and 311,367 is: 458,450.33
Step by Step Solution
- Step 1: Write the proportion equation
211,472 : 311,367 = 311,367 : x - Step 2: Convert to fraction form
211,472/311,367 = 311,367/x - Step 3: Cross multiply
211,472x = 311,367 × 311,367 - Step 4: Simplify right side
211,472x = 96,949,408,689 - Step 5: Solve for x
x = 96,949,408,689/211,472 - Step 6: Final answer
x = 458,450.33
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.