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Finding the Third Proportional to 115,761 and 234,738

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Solution

The third proportional to 115,761 and 234,738 is: 475,997.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,761 : 234,738 = 234,738 : x
  2. Step 2: Convert to fraction form
    115,761/234,738 = 234,738/x
  3. Step 3: Cross multiply
    115,761x = 234,738 × 234,738
  4. Step 4: Simplify right side
    115,761x = 55,101,928,644
  5. Step 5: Solve for x
    x = 55,101,928,644/115,761
  6. Step 6: Final answer
    x = 475,997.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.