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Finding the Third Proportional to 235,077 and 330,318

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Solution

The third proportional to 235,077 and 330,318 is: 464,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,077 : 330,318 = 330,318 : x
  2. Step 2: Convert to fraction form
    235,077/330,318 = 330,318/x
  3. Step 3: Cross multiply
    235,077x = 330,318 × 330,318
  4. Step 4: Simplify right side
    235,077x = 109,109,981,124
  5. Step 5: Solve for x
    x = 109,109,981,124/235,077
  6. Step 6: Final answer
    x = 464,145.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.