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Finding the Third Proportional to 111,905 and 228,979

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Solution

The third proportional to 111,905 and 228,979 is: 468,534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,905 : 228,979 = 228,979 : x
  2. Step 2: Convert to fraction form
    111,905/228,979 = 228,979/x
  3. Step 3: Cross multiply
    111,905x = 228,979 × 228,979
  4. Step 4: Simplify right side
    111,905x = 52,431,382,441
  5. Step 5: Solve for x
    x = 52,431,382,441/111,905
  6. Step 6: Final answer
    x = 468,534.76

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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.