Finding the Third Proportional to 196,764 and 430,464
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Solution
The third proportional to 196,764 and 430,464 is: 941,733.52
Step by Step Solution
- Step 1: Write the proportion equation
196,764 : 430,464 = 430,464 : x - Step 2: Convert to fraction form
196,764/430,464 = 430,464/x - Step 3: Cross multiply
196,764x = 430,464 × 430,464 - Step 4: Simplify right side
196,764x = 185,299,255,296 - Step 5: Solve for x
x = 185,299,255,296/196,764 - Step 6: Final answer
x = 941,733.52
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.