Finding the Third Proportional to 214,399 and 315,178
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Solution
The third proportional to 214,399 and 315,178 is: 463,328.52
Step by Step Solution
- Step 1: Write the proportion equation
214,399 : 315,178 = 315,178 : x - Step 2: Convert to fraction form
214,399/315,178 = 315,178/x - Step 3: Cross multiply
214,399x = 315,178 × 315,178 - Step 4: Simplify right side
214,399x = 99,337,171,684 - Step 5: Solve for x
x = 99,337,171,684/214,399 - Step 6: Final answer
x = 463,328.52
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.