Finding the Third Proportional to 212,904 and 296,024
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Solution
The third proportional to 212,904 and 296,024 is: 411,594.94
Step by Step Solution
- Step 1: Write the proportion equation
212,904 : 296,024 = 296,024 : x - Step 2: Convert to fraction form
212,904/296,024 = 296,024/x - Step 3: Cross multiply
212,904x = 296,024 × 296,024 - Step 4: Simplify right side
212,904x = 87,630,208,576 - Step 5: Solve for x
x = 87,630,208,576/212,904 - Step 6: Final answer
x = 411,594.94
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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.