Finding the Third Proportional to 240,948 and 322,002
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Solution
The third proportional to 240,948 and 322,002 is: 430,322.26
Step by Step Solution
- Step 1: Write the proportion equation
240,948 : 322,002 = 322,002 : x - Step 2: Convert to fraction form
240,948/322,002 = 322,002/x - Step 3: Cross multiply
240,948x = 322,002 × 322,002 - Step 4: Simplify right side
240,948x = 103,685,288,004 - Step 5: Solve for x
x = 103,685,288,004/240,948 - Step 6: Final answer
x = 430,322.26
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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.