Finding the Third Proportional to 102,275 and 218,766
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Solution
The third proportional to 102,275 and 218,766 is: 467,939.99
Step by Step Solution
- Step 1: Write the proportion equation
102,275 : 218,766 = 218,766 : x - Step 2: Convert to fraction form
102,275/218,766 = 218,766/x - Step 3: Cross multiply
102,275x = 218,766 × 218,766 - Step 4: Simplify right side
102,275x = 47,858,562,756 - Step 5: Solve for x
x = 47,858,562,756/102,275 - Step 6: Final answer
x = 467,939.99
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.