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Finding the Third Proportional to 111,912 and 228,995

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Solution

The third proportional to 111,912 and 228,995 is: 468,570.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,912 : 228,995 = 228,995 : x
  2. Step 2: Convert to fraction form
    111,912/228,995 = 228,995/x
  3. Step 3: Cross multiply
    111,912x = 228,995 × 228,995
  4. Step 4: Simplify right side
    111,912x = 52,438,710,025
  5. Step 5: Solve for x
    x = 52,438,710,025/111,912
  6. Step 6: Final answer
    x = 468,570.93

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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.