Finding the Third Proportional to 197,843 and 438,382
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Solution
The third proportional to 197,843 and 438,382 is: 971,370.12
Step by Step Solution
- Step 1: Write the proportion equation
197,843 : 438,382 = 438,382 : x - Step 2: Convert to fraction form
197,843/438,382 = 438,382/x - Step 3: Cross multiply
197,843x = 438,382 × 438,382 - Step 4: Simplify right side
197,843x = 192,178,777,924 - Step 5: Solve for x
x = 192,178,777,924/197,843 - Step 6: Final answer
x = 971,370.12
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.