Finding the Third Proportional to 213,444 and 320,733
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Solution
The third proportional to 213,444 and 320,733 is: 481,951.51
Step by Step Solution
- Step 1: Write the proportion equation
213,444 : 320,733 = 320,733 : x - Step 2: Convert to fraction form
213,444/320,733 = 320,733/x - Step 3: Cross multiply
213,444x = 320,733 × 320,733 - Step 4: Simplify right side
213,444x = 102,869,657,289 - Step 5: Solve for x
x = 102,869,657,289/213,444 - Step 6: Final answer
x = 481,951.51
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.