Finding the Third Proportional to 103,536 and 226,464
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Solution
The third proportional to 103,536 and 226,464 is: 495,344.07
Step by Step Solution
- Step 1: Write the proportion equation
103,536 : 226,464 = 226,464 : x - Step 2: Convert to fraction form
103,536/226,464 = 226,464/x - Step 3: Cross multiply
103,536x = 226,464 × 226,464 - Step 4: Simplify right side
103,536x = 51,285,943,296 - Step 5: Solve for x
x = 51,285,943,296/103,536 - Step 6: Final answer
x = 495,344.07
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.