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Finding the Third Proportional to 238,698 and 313,722

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Solution

The third proportional to 238,698 and 313,722 is: 412,326.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,698 : 313,722 = 313,722 : x
  2. Step 2: Convert to fraction form
    238,698/313,722 = 313,722/x
  3. Step 3: Cross multiply
    238,698x = 313,722 × 313,722
  4. Step 4: Simplify right side
    238,698x = 98,421,493,284
  5. Step 5: Solve for x
    x = 98,421,493,284/238,698
  6. Step 6: Final answer
    x = 412,326.43

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.