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Finding the Third Proportional to 111,296 and 228,060

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Solution

The third proportional to 111,296 and 228,060 is: 467,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,296 : 228,060 = 228,060 : x
  2. Step 2: Convert to fraction form
    111,296/228,060 = 228,060/x
  3. Step 3: Cross multiply
    111,296x = 228,060 × 228,060
  4. Step 4: Simplify right side
    111,296x = 52,011,363,600
  5. Step 5: Solve for x
    x = 52,011,363,600/111,296
  6. Step 6: Final answer
    x = 467,324.64

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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.