Finding the Third Proportional to 238,307 and 496,215
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Solution
The third proportional to 238,307 and 496,215 is: 1,033,244.20
Step by Step Solution
- Step 1: Write the proportion equation
238,307 : 496,215 = 496,215 : x - Step 2: Convert to fraction form
238,307/496,215 = 496,215/x - Step 3: Cross multiply
238,307x = 496,215 × 496,215 - Step 4: Simplify right side
238,307x = 246,229,326,225 - Step 5: Solve for x
x = 246,229,326,225/238,307 - Step 6: Final answer
x = 1,033,244.20
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.