Finding the Third Proportional to 213,246 and 493,668
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Solution
The third proportional to 213,246 and 493,668 is: 1,142,849.55
Step by Step Solution
- Step 1: Write the proportion equation
213,246 : 493,668 = 493,668 : x - Step 2: Convert to fraction form
213,246/493,668 = 493,668/x - Step 3: Cross multiply
213,246x = 493,668 × 493,668 - Step 4: Simplify right side
213,246x = 243,708,094,224 - Step 5: Solve for x
x = 243,708,094,224/213,246 - Step 6: Final answer
x = 1,142,849.55
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Why These Related Problems?
These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.