Finding the Third Proportional to 103,894 and 226,004
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Solution
The third proportional to 103,894 and 226,004 is: 491,633.86
Step by Step Solution
- Step 1: Write the proportion equation
103,894 : 226,004 = 226,004 : x - Step 2: Convert to fraction form
103,894/226,004 = 226,004/x - Step 3: Cross multiply
103,894x = 226,004 × 226,004 - Step 4: Simplify right side
103,894x = 51,077,808,016 - Step 5: Solve for x
x = 51,077,808,016/103,894 - Step 6: Final answer
x = 491,633.86
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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.