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Finding the Third Proportional to 111,325.50 and 228,123

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Solution

The third proportional to 111,325.50 and 228,123 is: 467,458.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,325.50 : 228,123 = 228,123 : x
  2. Step 2: Convert to fraction form
    111,325.50/228,123 = 228,123/x
  3. Step 3: Cross multiply
    111,325.50x = 228,123 × 228,123
  4. Step 4: Simplify right side
    111,325.50x = 52,040,103,129
  5. Step 5: Solve for x
    x = 52,040,103,129/111,325.50
  6. Step 6: Final answer
    x = 467,458.97

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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.