Finding the Third Proportional to 311,966 and 344,770
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Solution
The third proportional to 311,966 and 344,770 is: 381,023.42
Step by Step Solution
- Step 1: Write the proportion equation
311,966 : 344,770 = 344,770 : x - Step 2: Convert to fraction form
311,966/344,770 = 344,770/x - Step 3: Cross multiply
311,966x = 344,770 × 344,770 - Step 4: Simplify right side
311,966x = 118,866,352,900 - Step 5: Solve for x
x = 118,866,352,900/311,966 - Step 6: Final answer
x = 381,023.42
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Why These Related Problems?
These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.