Finding the Third Proportional to 102,235.50 and 223,425
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Solution
The third proportional to 102,235.50 and 223,425 is: 488,271.99
Step by Step Solution
- Step 1: Write the proportion equation
102,235.50 : 223,425 = 223,425 : x - Step 2: Convert to fraction form
102,235.50/223,425 = 223,425/x - Step 3: Cross multiply
102,235.50x = 223,425 × 223,425 - Step 4: Simplify right side
102,235.50x = 49,918,730,625 - Step 5: Solve for x
x = 49,918,730,625/102,235.50 - Step 6: Final answer
x = 488,271.99
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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.