Finding the Third Proportional to 212,256 and 461,988
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Solution
The third proportional to 212,256 and 461,988 is: 1,005,544.78
Step by Step Solution
- Step 1: Write the proportion equation
212,256 : 461,988 = 461,988 : x - Step 2: Convert to fraction form
212,256/461,988 = 461,988/x - Step 3: Cross multiply
212,256x = 461,988 × 461,988 - Step 4: Simplify right side
212,256x = 213,432,912,144 - Step 5: Solve for x
x = 213,432,912,144/212,256 - Step 6: Final answer
x = 1,005,544.78
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.