Finding the Third Proportional to 102 and 250
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Solution
The third proportional to 102 and 250 is: 612.75
Step by Step Solution
- Step 1: Write the proportion equation
102 : 250 = 250 : x - Step 2: Convert to fraction form
102/250 = 250/x - Step 3: Cross multiply
102x = 250 × 250 - Step 4: Simplify right side
102x = 62,500 - Step 5: Solve for x
x = 62,500/102 - Step 6: Final answer
x = 612.75
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Why These Related Problems?
These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.