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Finding the Third Proportional to 106,215 and 231,753

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Solution

The third proportional to 106,215 and 231,753 is: 505,667.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,215 : 231,753 = 231,753 : x
  2. Step 2: Convert to fraction form
    106,215/231,753 = 231,753/x
  3. Step 3: Cross multiply
    106,215x = 231,753 × 231,753
  4. Step 4: Simplify right side
    106,215x = 53,709,453,009
  5. Step 5: Solve for x
    x = 53,709,453,009/106,215
  6. Step 6: Final answer
    x = 505,667.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.