Finding the Third Proportional to 214,198.50 and 465,270
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Solution
The third proportional to 214,198.50 and 465,270 is: 1,010,633.47
Step by Step Solution
- Step 1: Write the proportion equation
214,198.50 : 465,270 = 465,270 : x - Step 2: Convert to fraction form
214,198.50/465,270 = 465,270/x - Step 3: Cross multiply
214,198.50x = 465,270 × 465,270 - Step 4: Simplify right side
214,198.50x = 216,476,172,900 - Step 5: Solve for x
x = 216,476,172,900/214,198.50 - Step 6: Final answer
x = 1,010,633.47
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.