Finding the Third Proportional to 105,792 and 230,576
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Solution
The third proportional to 105,792 and 230,576 is: 502,545.48
Step by Step Solution
- Step 1: Write the proportion equation
105,792 : 230,576 = 230,576 : x - Step 2: Convert to fraction form
105,792/230,576 = 230,576/x - Step 3: Cross multiply
105,792x = 230,576 × 230,576 - Step 4: Simplify right side
105,792x = 53,165,291,776 - Step 5: Solve for x
x = 53,165,291,776/105,792 - Step 6: Final answer
x = 502,545.48
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.