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Finding the Third Proportional to 241,449.75 and 384,339.38

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Solution

The third proportional to 241,449.75 and 384,339.38 is: 611,790.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,449.75 : 384,339.38 = 384,339.38 : x
  2. Step 2: Convert to fraction form
    241,449.75/384,339.38 = 384,339.38/x
  3. Step 3: Cross multiply
    241,449.75x = 384,339.38 × 384,339.38
  4. Step 4: Simplify right side
    241,449.75x = 147,716,755,175.39
  5. Step 5: Solve for x
    x = 147,716,755,175.39/241,449.75
  6. Step 6: Final answer
    x = 611,790.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.