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Finding the Third Proportional to 105,212 and 226,462

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Solution

The third proportional to 105,212 and 226,462 is: 487,444.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,212 : 226,462 = 226,462 : x
  2. Step 2: Convert to fraction form
    105,212/226,462 = 226,462/x
  3. Step 3: Cross multiply
    105,212x = 226,462 × 226,462
  4. Step 4: Simplify right side
    105,212x = 51,285,037,444
  5. Step 5: Solve for x
    x = 51,285,037,444/105,212
  6. Step 6: Final answer
    x = 487,444.75

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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.