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Finding the Third Proportional to 110,346 and 236,244

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Solution

The third proportional to 110,346 and 236,244 is: 505,783.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,346 : 236,244 = 236,244 : x
  2. Step 2: Convert to fraction form
    110,346/236,244 = 236,244/x
  3. Step 3: Cross multiply
    110,346x = 236,244 × 236,244
  4. Step 4: Simplify right side
    110,346x = 55,811,227,536
  5. Step 5: Solve for x
    x = 55,811,227,536/110,346
  6. Step 6: Final answer
    x = 505,783.88

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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.