Finding the Third Proportional to 105,042.50 and 224,851
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Solution
The third proportional to 105,042.50 and 224,851 is: 481,309.68
Step by Step Solution
- Step 1: Write the proportion equation
105,042.50 : 224,851 = 224,851 : x - Step 2: Convert to fraction form
105,042.50/224,851 = 224,851/x - Step 3: Cross multiply
105,042.50x = 224,851 × 224,851 - Step 4: Simplify right side
105,042.50x = 50,557,972,201 - Step 5: Solve for x
x = 50,557,972,201/105,042.50 - Step 6: Final answer
x = 481,309.68
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.