Finding the Third Proportional to 140,318 and 214,653
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Solution
The third proportional to 140,318 and 214,653 is: 328,367.78
Step by Step Solution
- Step 1: Write the proportion equation
140,318 : 214,653 = 214,653 : x - Step 2: Convert to fraction form
140,318/214,653 = 214,653/x - Step 3: Cross multiply
140,318x = 214,653 × 214,653 - Step 4: Simplify right side
140,318x = 46,075,910,409 - Step 5: Solve for x
x = 46,075,910,409/140,318 - Step 6: Final answer
x = 328,367.78
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.