Finding the Third Proportional to 114,115.50 and 231,687
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Solution
The third proportional to 114,115.50 and 231,687 is: 470,390.67
Step by Step Solution
- Step 1: Write the proportion equation
114,115.50 : 231,687 = 231,687 : x - Step 2: Convert to fraction form
114,115.50/231,687 = 231,687/x - Step 3: Cross multiply
114,115.50x = 231,687 × 231,687 - Step 4: Simplify right side
114,115.50x = 53,678,865,969 - Step 5: Solve for x
x = 53,678,865,969/114,115.50 - Step 6: Final answer
x = 470,390.67
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.