Finding the Third Proportional to 158,016 and 230,784
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Solution
The third proportional to 158,016 and 230,784 is: 337,062.42
Step by Step Solution
- Step 1: Write the proportion equation
158,016 : 230,784 = 230,784 : x - Step 2: Convert to fraction form
158,016/230,784 = 230,784/x - Step 3: Cross multiply
158,016x = 230,784 × 230,784 - Step 4: Simplify right side
158,016x = 53,261,254,656 - Step 5: Solve for x
x = 53,261,254,656/158,016 - Step 6: Final answer
x = 337,062.42
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.