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Finding the Third Proportional to 110,230 and 236,012

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Solution

The third proportional to 110,230 and 236,012 is: 505,322.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,230 : 236,012 = 236,012 : x
  2. Step 2: Convert to fraction form
    110,230/236,012 = 236,012/x
  3. Step 3: Cross multiply
    110,230x = 236,012 × 236,012
  4. Step 4: Simplify right side
    110,230x = 55,701,664,144
  5. Step 5: Solve for x
    x = 55,701,664,144/110,230
  6. Step 6: Final answer
    x = 505,322.18

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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.