Finding the Third Proportional to 142,812 and 311,036
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Solution
The third proportional to 142,812 and 311,036 is: 677,417.82
Step by Step Solution
- Step 1: Write the proportion equation
142,812 : 311,036 = 311,036 : x - Step 2: Convert to fraction form
142,812/311,036 = 311,036/x - Step 3: Cross multiply
142,812x = 311,036 × 311,036 - Step 4: Simplify right side
142,812x = 96,743,393,296 - Step 5: Solve for x
x = 96,743,393,296/142,812 - Step 6: Final answer
x = 677,417.82
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.