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Finding the Third Proportional to 234,680 and 336,296

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Solution

The third proportional to 234,680 and 336,296 is: 481,911.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,680 : 336,296 = 336,296 : x
  2. Step 2: Convert to fraction form
    234,680/336,296 = 336,296/x
  3. Step 3: Cross multiply
    234,680x = 336,296 × 336,296
  4. Step 4: Simplify right side
    234,680x = 113,094,999,616
  5. Step 5: Solve for x
    x = 113,094,999,616/234,680
  6. Step 6: Final answer
    x = 481,911.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.