Finding the Third Proportional to 111,696 and 243,464
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Solution
The third proportional to 111,696 and 243,464 is: 530,678.98
Step by Step Solution
- Step 1: Write the proportion equation
111,696 : 243,464 = 243,464 : x - Step 2: Convert to fraction form
111,696/243,464 = 243,464/x - Step 3: Cross multiply
111,696x = 243,464 × 243,464 - Step 4: Simplify right side
111,696x = 59,274,719,296 - Step 5: Solve for x
x = 59,274,719,296/111,696 - Step 6: Final answer
x = 530,678.98
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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.