Finding the Third Proportional to 192,605 and 464,002
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Solution
The third proportional to 192,605 and 464,002 is: 1,117,820.70
Step by Step Solution
- Step 1: Write the proportion equation
192,605 : 464,002 = 464,002 : x - Step 2: Convert to fraction form
192,605/464,002 = 464,002/x - Step 3: Cross multiply
192,605x = 464,002 × 464,002 - Step 4: Simplify right side
192,605x = 215,297,856,004 - Step 5: Solve for x
x = 215,297,856,004/192,605 - Step 6: Final answer
x = 1,117,820.70
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Why These Related Problems?
These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.