Finding the Third Proportional to 214,339.50 and 470,718
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Solution
The third proportional to 214,339.50 and 470,718 is: 1,033,759.23
Step by Step Solution
- Step 1: Write the proportion equation
214,339.50 : 470,718 = 470,718 : x - Step 2: Convert to fraction form
214,339.50/470,718 = 470,718/x - Step 3: Cross multiply
214,339.50x = 470,718 × 470,718 - Step 4: Simplify right side
214,339.50x = 221,575,435,524 - Step 5: Solve for x
x = 221,575,435,524/214,339.50 - Step 6: Final answer
x = 1,033,759.23
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.