Finding the Third Proportional to 186,820 and 437,002
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Solution
The third proportional to 186,820 and 437,002 is: 1,022,217.90
Step by Step Solution
- Step 1: Write the proportion equation
186,820 : 437,002 = 437,002 : x - Step 2: Convert to fraction form
186,820/437,002 = 437,002/x - Step 3: Cross multiply
186,820x = 437,002 × 437,002 - Step 4: Simplify right side
186,820x = 190,970,748,004 - Step 5: Solve for x
x = 190,970,748,004/186,820 - Step 6: Final answer
x = 1,022,217.90
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.