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Finding the Third Proportional to 111,903 and 228,975

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Solution

The third proportional to 111,903 and 228,975 is: 468,526.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,903 : 228,975 = 228,975 : x
  2. Step 2: Convert to fraction form
    111,903/228,975 = 228,975/x
  3. Step 3: Cross multiply
    111,903x = 228,975 × 228,975
  4. Step 4: Simplify right side
    111,903x = 52,429,550,625
  5. Step 5: Solve for x
    x = 52,429,550,625/111,903
  6. Step 6: Final answer
    x = 468,526.77

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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.