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Finding the Third Proportional to 241,238 and 354,839

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Solution

The third proportional to 241,238 and 354,839 is: 521,935.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,238 : 354,839 = 354,839 : x
  2. Step 2: Convert to fraction form
    241,238/354,839 = 354,839/x
  3. Step 3: Cross multiply
    241,238x = 354,839 × 354,839
  4. Step 4: Simplify right side
    241,238x = 125,910,715,921
  5. Step 5: Solve for x
    x = 125,910,715,921/241,238
  6. Step 6: Final answer
    x = 521,935.66

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.