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Finding the Third Proportional to 111,234 and 229,824

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Solution

The third proportional to 111,234 and 229,824 is: 474,846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,234 : 229,824 = 229,824 : x
  2. Step 2: Convert to fraction form
    111,234/229,824 = 229,824/x
  3. Step 3: Cross multiply
    111,234x = 229,824 × 229,824
  4. Step 4: Simplify right side
    111,234x = 52,819,070,976
  5. Step 5: Solve for x
    x = 52,819,070,976/111,234
  6. Step 6: Final answer
    x = 474,846.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.