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Finding the Third Proportional to 241,167 and 523,851

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Solution

The third proportional to 241,167 and 523,851 is: 1,137,883.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,167 : 523,851 = 523,851 : x
  2. Step 2: Convert to fraction form
    241,167/523,851 = 523,851/x
  3. Step 3: Cross multiply
    241,167x = 523,851 × 523,851
  4. Step 4: Simplify right side
    241,167x = 274,419,870,201
  5. Step 5: Solve for x
    x = 274,419,870,201/241,167
  6. Step 6: Final answer
    x = 1,137,883.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.