Finding the Third Proportional to 211,946 and 297,063
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Solution
The third proportional to 211,946 and 297,063 is: 416,362.78
Step by Step Solution
- Step 1: Write the proportion equation
211,946 : 297,063 = 297,063 : x - Step 2: Convert to fraction form
211,946/297,063 = 297,063/x - Step 3: Cross multiply
211,946x = 297,063 × 297,063 - Step 4: Simplify right side
211,946x = 88,246,425,969 - Step 5: Solve for x
x = 88,246,425,969/211,946 - Step 6: Final answer
x = 416,362.78
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.