Finding the Third Proportional to 105,766 and 230,468
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Solution
The third proportional to 105,766 and 230,468 is: 502,198.24
Step by Step Solution
- Step 1: Write the proportion equation
105,766 : 230,468 = 230,468 : x - Step 2: Convert to fraction form
105,766/230,468 = 230,468/x - Step 3: Cross multiply
105,766x = 230,468 × 230,468 - Step 4: Simplify right side
105,766x = 53,115,499,024 - Step 5: Solve for x
x = 53,115,499,024/105,766 - Step 6: Final answer
x = 502,198.24
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.