Finding the Third Proportional to 105,259 and 200,818
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Solution
The third proportional to 105,259 and 200,818 is: 383,129.89
Step by Step Solution
- Step 1: Write the proportion equation
105,259 : 200,818 = 200,818 : x - Step 2: Convert to fraction form
105,259/200,818 = 200,818/x - Step 3: Cross multiply
105,259x = 200,818 × 200,818 - Step 4: Simplify right side
105,259x = 40,327,869,124 - Step 5: Solve for x
x = 40,327,869,124/105,259 - Step 6: Final answer
x = 383,129.89
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Why These Related Problems?
These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.