Finding the Third Proportional to 189,962 and 405,348
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Solution
The third proportional to 189,962 and 405,348 is: 864,946.68
Step by Step Solution
- Step 1: Write the proportion equation
189,962 : 405,348 = 405,348 : x - Step 2: Convert to fraction form
189,962/405,348 = 405,348/x - Step 3: Cross multiply
189,962x = 405,348 × 405,348 - Step 4: Simplify right side
189,962x = 164,307,001,104 - Step 5: Solve for x
x = 164,307,001,104/189,962 - Step 6: Final answer
x = 864,946.68
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.