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Finding the Third Proportional to 111,366 and 228,168

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Solution

The third proportional to 111,366 and 228,168 is: 467,473.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,366 : 228,168 = 228,168 : x
  2. Step 2: Convert to fraction form
    111,366/228,168 = 228,168/x
  3. Step 3: Cross multiply
    111,366x = 228,168 × 228,168
  4. Step 4: Simplify right side
    111,366x = 52,060,636,224
  5. Step 5: Solve for x
    x = 52,060,636,224/111,366
  6. Step 6: Final answer
    x = 467,473.34

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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.