Finding the Third Proportional to 230,106 and 492,994
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Solution
The third proportional to 230,106 and 492,994 is: 1,056,222.28
Step by Step Solution
- Step 1: Write the proportion equation
230,106 : 492,994 = 492,994 : x - Step 2: Convert to fraction form
230,106/492,994 = 492,994/x - Step 3: Cross multiply
230,106x = 492,994 × 492,994 - Step 4: Simplify right side
230,106x = 243,043,084,036 - Step 5: Solve for x
x = 243,043,084,036/230,106 - Step 6: Final answer
x = 1,056,222.28
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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.