Finding the Third Proportional to 214,803 and 315,630
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Solution
The third proportional to 214,803 and 315,630 is: 463,784.48
Step by Step Solution
- Step 1: Write the proportion equation
214,803 : 315,630 = 315,630 : x - Step 2: Convert to fraction form
214,803/315,630 = 315,630/x - Step 3: Cross multiply
214,803x = 315,630 × 315,630 - Step 4: Simplify right side
214,803x = 99,622,296,900 - Step 5: Solve for x
x = 99,622,296,900/214,803 - Step 6: Final answer
x = 463,784.48
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.