Finding the Third Proportional to 96,294 and 214,717
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Solution
The third proportional to 96,294 and 214,717 is: 478,777.39
Step by Step Solution
- Step 1: Write the proportion equation
96,294 : 214,717 = 214,717 : x - Step 2: Convert to fraction form
96,294/214,717 = 214,717/x - Step 3: Cross multiply
96,294x = 214,717 × 214,717 - Step 4: Simplify right side
96,294x = 46,103,390,089 - Step 5: Solve for x
x = 46,103,390,089/96,294 - Step 6: Final answer
x = 478,777.39
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.