Finding the Third Proportional to 211,996.50 and 461,358
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Solution
The third proportional to 211,996.50 and 461,358 is: 1,004,031.69
Step by Step Solution
- Step 1: Write the proportion equation
211,996.50 : 461,358 = 461,358 : x - Step 2: Convert to fraction form
211,996.50/461,358 = 461,358/x - Step 3: Cross multiply
211,996.50x = 461,358 × 461,358 - Step 4: Simplify right side
211,996.50x = 212,851,204,164 - Step 5: Solve for x
x = 212,851,204,164/211,996.50 - Step 6: Final answer
x = 1,004,031.69
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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.