Finding the Third Proportional to 224,431.50 and 491,097
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Solution
The third proportional to 224,431.50 and 491,097 is: 1,074,609.68
Step by Step Solution
- Step 1: Write the proportion equation
224,431.50 : 491,097 = 491,097 : x - Step 2: Convert to fraction form
224,431.50/491,097 = 491,097/x - Step 3: Cross multiply
224,431.50x = 491,097 × 491,097 - Step 4: Simplify right side
224,431.50x = 241,176,263,409 - Step 5: Solve for x
x = 241,176,263,409/224,431.50 - Step 6: Final answer
x = 1,074,609.68
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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.