Finding the Third Proportional to 230,231.25 and 471,874.50
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Solution
The third proportional to 230,231.25 and 471,874.50 is: 967,138.66
Step by Step Solution
- Step 1: Write the proportion equation
230,231.25 : 471,874.50 = 471,874.50 : x - Step 2: Convert to fraction form
230,231.25/471,874.50 = 471,874.50/x - Step 3: Cross multiply
230,231.25x = 471,874.50 × 471,874.50 - Step 4: Simplify right side
230,231.25x = 222,665,543,750.25 - Step 5: Solve for x
x = 222,665,543,750.25/230,231.25 - Step 6: Final answer
x = 967,138.66
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.