Finding the Third Proportional to 196,996 and 435,464
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Solution
The third proportional to 196,996 and 435,464 is: 962,602.77
Step by Step Solution
- Step 1: Write the proportion equation
196,996 : 435,464 = 435,464 : x - Step 2: Convert to fraction form
196,996/435,464 = 435,464/x - Step 3: Cross multiply
196,996x = 435,464 × 435,464 - Step 4: Simplify right side
196,996x = 189,628,895,296 - Step 5: Solve for x
x = 189,628,895,296/196,996 - Step 6: Final answer
x = 962,602.77
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Why These Related Problems?
These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.