Finding the Third Proportional to 100,276 and 214,376
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Solution
The third proportional to 100,276 and 214,376 is: 458,305.77
Step by Step Solution
- Step 1: Write the proportion equation
100,276 : 214,376 = 214,376 : x - Step 2: Convert to fraction form
100,276/214,376 = 214,376/x - Step 3: Cross multiply
100,276x = 214,376 × 214,376 - Step 4: Simplify right side
100,276x = 45,957,069,376 - Step 5: Solve for x
x = 45,957,069,376/100,276 - Step 6: Final answer
x = 458,305.77
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.