Finding the Third Proportional to 142,199 and 301,894
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Solution
The third proportional to 142,199 and 301,894 is: 640,932.69
Step by Step Solution
- Step 1: Write the proportion equation
142,199 : 301,894 = 301,894 : x - Step 2: Convert to fraction form
142,199/301,894 = 301,894/x - Step 3: Cross multiply
142,199x = 301,894 × 301,894 - Step 4: Simplify right side
142,199x = 91,139,987,236 - Step 5: Solve for x
x = 91,139,987,236/142,199 - Step 6: Final answer
x = 640,932.69
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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.