Finding the Third Proportional to 115,476 and 257,184
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Solution
The third proportional to 115,476 and 257,184 is: 572,790.97
Step by Step Solution
- Step 1: Write the proportion equation
115,476 : 257,184 = 257,184 : x - Step 2: Convert to fraction form
115,476/257,184 = 257,184/x - Step 3: Cross multiply
115,476x = 257,184 × 257,184 - Step 4: Simplify right side
115,476x = 66,143,609,856 - Step 5: Solve for x
x = 66,143,609,856/115,476 - Step 6: Final answer
x = 572,790.97
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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.