Finding the Third Proportional to 226,108 and 491,096
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Solution
The third proportional to 226,108 and 491,096 is: 1,066,637.54
Step by Step Solution
- Step 1: Write the proportion equation
226,108 : 491,096 = 491,096 : x - Step 2: Convert to fraction form
226,108/491,096 = 491,096/x - Step 3: Cross multiply
226,108x = 491,096 × 491,096 - Step 4: Simplify right side
226,108x = 241,175,281,216 - Step 5: Solve for x
x = 241,175,281,216/226,108 - Step 6: Final answer
x = 1,066,637.54
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.