Finding the Third Proportional to 226,832 and 495,170
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Solution
The third proportional to 226,832 and 495,170 is: 1,080,946.82
Step by Step Solution
- Step 1: Write the proportion equation
226,832 : 495,170 = 495,170 : x - Step 2: Convert to fraction form
226,832/495,170 = 495,170/x - Step 3: Cross multiply
226,832x = 495,170 × 495,170 - Step 4: Simplify right side
226,832x = 245,193,328,900 - Step 5: Solve for x
x = 245,193,328,900/226,832 - Step 6: Final answer
x = 1,080,946.82
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.