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Finding the Third Proportional to 109,980 and 235,512

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Solution

The third proportional to 109,980 and 235,512 is: 504,327.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,980 : 235,512 = 235,512 : x
  2. Step 2: Convert to fraction form
    109,980/235,512 = 235,512/x
  3. Step 3: Cross multiply
    109,980x = 235,512 × 235,512
  4. Step 4: Simplify right side
    109,980x = 55,465,902,144
  5. Step 5: Solve for x
    x = 55,465,902,144/109,980
  6. Step 6: Final answer
    x = 504,327.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.