Finding the Third Proportional to 232,198 and 510,063
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Solution
The third proportional to 232,198 and 510,063 is: 1,120,441.45
Step by Step Solution
- Step 1: Write the proportion equation
232,198 : 510,063 = 510,063 : x - Step 2: Convert to fraction form
232,198/510,063 = 510,063/x - Step 3: Cross multiply
232,198x = 510,063 × 510,063 - Step 4: Simplify right side
232,198x = 260,164,263,969 - Step 5: Solve for x
x = 260,164,263,969/232,198 - Step 6: Final answer
x = 1,120,441.45
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.