Finding the Third Proportional to 230,098 and 492,180
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Solution
The third proportional to 230,098 and 492,180 is: 1,052,773.83
Step by Step Solution
- Step 1: Write the proportion equation
230,098 : 492,180 = 492,180 : x - Step 2: Convert to fraction form
230,098/492,180 = 492,180/x - Step 3: Cross multiply
230,098x = 492,180 × 492,180 - Step 4: Simplify right side
230,098x = 242,241,152,400 - Step 5: Solve for x
x = 242,241,152,400/230,098 - Step 6: Final answer
x = 1,052,773.83
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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.