Finding the Third Proportional to 238,198 and 510,933
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Solution
The third proportional to 238,198 and 510,933 is: 1,095,947.62
Step by Step Solution
- Step 1: Write the proportion equation
238,198 : 510,933 = 510,933 : x - Step 2: Convert to fraction form
238,198/510,933 = 510,933/x - Step 3: Cross multiply
238,198x = 510,933 × 510,933 - Step 4: Simplify right side
238,198x = 261,052,530,489 - Step 5: Solve for x
x = 261,052,530,489/238,198 - Step 6: Final answer
x = 1,095,947.62
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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.