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Finding the Third Proportional to 114,212 and 263,228

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Solution

The third proportional to 114,212 and 263,228 is: 606,669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,212 : 263,228 = 263,228 : x
  2. Step 2: Convert to fraction form
    114,212/263,228 = 263,228/x
  3. Step 3: Cross multiply
    114,212x = 263,228 × 263,228
  4. Step 4: Simplify right side
    114,212x = 69,288,979,984
  5. Step 5: Solve for x
    x = 69,288,979,984/114,212
  6. Step 6: Final answer
    x = 606,669.88

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.