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Finding the Third Proportional to 111,368 and 228,172

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Solution

The third proportional to 111,368 and 228,172 is: 467,481.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,368 : 228,172 = 228,172 : x
  2. Step 2: Convert to fraction form
    111,368/228,172 = 228,172/x
  3. Step 3: Cross multiply
    111,368x = 228,172 × 228,172
  4. Step 4: Simplify right side
    111,368x = 52,062,461,584
  5. Step 5: Solve for x
    x = 52,062,461,584/111,368
  6. Step 6: Final answer
    x = 467,481.34

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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.