Finding the Third Proportional to 214,918 and 469,201
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Solution
The third proportional to 214,918 and 469,201 is: 1,024,342.21
Step by Step Solution
- Step 1: Write the proportion equation
214,918 : 469,201 = 469,201 : x - Step 2: Convert to fraction form
214,918/469,201 = 469,201/x - Step 3: Cross multiply
214,918x = 469,201 × 469,201 - Step 4: Simplify right side
214,918x = 220,149,578,401 - Step 5: Solve for x
x = 220,149,578,401/214,918 - Step 6: Final answer
x = 1,024,342.21
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.