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Finding the Third Proportional to 111,905.50 and 228,980

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Solution

The third proportional to 111,905.50 and 228,980 is: 468,536.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,905.50 : 228,980 = 228,980 : x
  2. Step 2: Convert to fraction form
    111,905.50/228,980 = 228,980/x
  3. Step 3: Cross multiply
    111,905.50x = 228,980 × 228,980
  4. Step 4: Simplify right side
    111,905.50x = 52,431,840,400
  5. Step 5: Solve for x
    x = 52,431,840,400/111,905.50
  6. Step 6: Final answer
    x = 468,536.76

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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.