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Finding the Third Proportional to 106,944 and 231,744

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Solution

The third proportional to 106,944 and 231,744 is: 502,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,944 : 231,744 = 231,744 : x
  2. Step 2: Convert to fraction form
    106,944/231,744 = 231,744/x
  3. Step 3: Cross multiply
    106,944x = 231,744 × 231,744
  4. Step 4: Simplify right side
    106,944x = 53,705,281,536
  5. Step 5: Solve for x
    x = 53,705,281,536/106,944
  6. Step 6: Final answer
    x = 502,181.34

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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.