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Finding the Third Proportional to 111,300 and 228,069

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Solution

The third proportional to 111,300 and 228,069 is: 467,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,300 : 228,069 = 228,069 : x
  2. Step 2: Convert to fraction form
    111,300/228,069 = 228,069/x
  3. Step 3: Cross multiply
    111,300x = 228,069 × 228,069
  4. Step 4: Simplify right side
    111,300x = 52,015,468,761
  5. Step 5: Solve for x
    x = 52,015,468,761/111,300
  6. Step 6: Final answer
    x = 467,344.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.