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Finding the Third Proportional to 111,816 and 243,318

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Solution

The third proportional to 111,816 and 243,318 is: 529,473.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,816 : 243,318 = 243,318 : x
  2. Step 2: Convert to fraction form
    111,816/243,318 = 243,318/x
  3. Step 3: Cross multiply
    111,816x = 243,318 × 243,318
  4. Step 4: Simplify right side
    111,816x = 59,203,649,124
  5. Step 5: Solve for x
    x = 59,203,649,124/111,816
  6. Step 6: Final answer
    x = 529,473.86

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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.