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Finding the Third Proportional to 110,845 and 238,321

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Solution

The third proportional to 110,845 and 238,321 is: 512,399.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,845 : 238,321 = 238,321 : x
  2. Step 2: Convert to fraction form
    110,845/238,321 = 238,321/x
  3. Step 3: Cross multiply
    110,845x = 238,321 × 238,321
  4. Step 4: Simplify right side
    110,845x = 56,796,899,041
  5. Step 5: Solve for x
    x = 56,796,899,041/110,845
  6. Step 6: Final answer
    x = 512,399.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.