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Finding the Third Proportional to 111,906 and 228,981

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Solution

The third proportional to 111,906 and 228,981 is: 468,538.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,906 : 228,981 = 228,981 : x
  2. Step 2: Convert to fraction form
    111,906/228,981 = 228,981/x
  3. Step 3: Cross multiply
    111,906x = 228,981 × 228,981
  4. Step 4: Simplify right side
    111,906x = 52,432,298,361
  5. Step 5: Solve for x
    x = 52,432,298,361/111,906
  6. Step 6: Final answer
    x = 468,538.76

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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.