Finding the Third Proportional to 209,178 and 430,734
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Solution
The third proportional to 209,178 and 430,734 is: 886,956.46
Step by Step Solution
- Step 1: Write the proportion equation
209,178 : 430,734 = 430,734 : x - Step 2: Convert to fraction form
209,178/430,734 = 430,734/x - Step 3: Cross multiply
209,178x = 430,734 × 430,734 - Step 4: Simplify right side
209,178x = 185,531,778,756 - Step 5: Solve for x
x = 185,531,778,756/209,178 - Step 6: Final answer
x = 886,956.46
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Why These Related Problems?
These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.