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Finding the Third Proportional to 111,812 and 243,308

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Solution

The third proportional to 111,812 and 243,308 is: 529,449.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,812 : 243,308 = 243,308 : x
  2. Step 2: Convert to fraction form
    111,812/243,308 = 243,308/x
  3. Step 3: Cross multiply
    111,812x = 243,308 × 243,308
  4. Step 4: Simplify right side
    111,812x = 59,198,782,864
  5. Step 5: Solve for x
    x = 59,198,782,864/111,812
  6. Step 6: Final answer
    x = 529,449.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.