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Finding the Third Proportional to 108,540.50 and 231,418

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Solution

The third proportional to 108,540.50 and 231,418 is: 493,403.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,540.50 : 231,418 = 231,418 : x
  2. Step 2: Convert to fraction form
    108,540.50/231,418 = 231,418/x
  3. Step 3: Cross multiply
    108,540.50x = 231,418 × 231,418
  4. Step 4: Simplify right side
    108,540.50x = 53,554,290,724
  5. Step 5: Solve for x
    x = 53,554,290,724/108,540.50
  6. Step 6: Final answer
    x = 493,403.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.