Finding the Third Proportional to 206,532 and 437,834
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Solution
The third proportional to 206,532 and 437,834 is: 928,178.74
Step by Step Solution
- Step 1: Write the proportion equation
206,532 : 437,834 = 437,834 : x - Step 2: Convert to fraction form
206,532/437,834 = 437,834/x - Step 3: Cross multiply
206,532x = 437,834 × 437,834 - Step 4: Simplify right side
206,532x = 191,698,611,556 - Step 5: Solve for x
x = 191,698,611,556/206,532 - Step 6: Final answer
x = 928,178.74
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.