Finding the Third Proportional to 214,288 and 323,376
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Solution
The third proportional to 214,288 and 323,376 is: 487,997.64
Step by Step Solution
- Step 1: Write the proportion equation
214,288 : 323,376 = 323,376 : x - Step 2: Convert to fraction form
214,288/323,376 = 323,376/x - Step 3: Cross multiply
214,288x = 323,376 × 323,376 - Step 4: Simplify right side
214,288x = 104,572,037,376 - Step 5: Solve for x
x = 104,572,037,376/214,288 - Step 6: Final answer
x = 487,997.64
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.