Finding the Third Proportional to 230,096 and 492,980
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Solution
The third proportional to 230,096 and 492,980 is: 1,056,208.19
Step by Step Solution
- Step 1: Write the proportion equation
230,096 : 492,980 = 492,980 : x - Step 2: Convert to fraction form
230,096/492,980 = 492,980/x - Step 3: Cross multiply
230,096x = 492,980 × 492,980 - Step 4: Simplify right side
230,096x = 243,029,280,400 - Step 5: Solve for x
x = 243,029,280,400/230,096 - Step 6: Final answer
x = 1,056,208.19
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.