Finding the Third Proportional to 108,973 and 233,498
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Solution
The third proportional to 108,973 and 233,498 is: 500,319.49
Step by Step Solution
- Step 1: Write the proportion equation
108,973 : 233,498 = 233,498 : x - Step 2: Convert to fraction form
108,973/233,498 = 233,498/x - Step 3: Cross multiply
108,973x = 233,498 × 233,498 - Step 4: Simplify right side
108,973x = 54,521,316,004 - Step 5: Solve for x
x = 54,521,316,004/108,973 - Step 6: Final answer
x = 500,319.49
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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.