Finding the Third Proportional to 230,108 and 492,998
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Solution
The third proportional to 230,108 and 492,998 is: 1,056,230.24
Step by Step Solution
- Step 1: Write the proportion equation
230,108 : 492,998 = 492,998 : x - Step 2: Convert to fraction form
230,108/492,998 = 492,998/x - Step 3: Cross multiply
230,108x = 492,998 × 492,998 - Step 4: Simplify right side
230,108x = 243,047,028,004 - Step 5: Solve for x
x = 243,047,028,004/230,108 - Step 6: Final answer
x = 1,056,230.24
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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.