Finding the Third Proportional to 109,578 and 233,277
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Solution
The third proportional to 109,578 and 233,277 is: 496,615.73
Step by Step Solution
- Step 1: Write the proportion equation
109,578 : 233,277 = 233,277 : x - Step 2: Convert to fraction form
109,578/233,277 = 233,277/x - Step 3: Cross multiply
109,578x = 233,277 × 233,277 - Step 4: Simplify right side
109,578x = 54,418,158,729 - Step 5: Solve for x
x = 54,418,158,729/109,578 - Step 6: Final answer
x = 496,615.73
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.