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Finding the Third Proportional to 234,626 and 334,299

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Solution

The third proportional to 234,626 and 334,299 is: 476,314.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,626 : 334,299 = 334,299 : x
  2. Step 2: Convert to fraction form
    234,626/334,299 = 334,299/x
  3. Step 3: Cross multiply
    234,626x = 334,299 × 334,299
  4. Step 4: Simplify right side
    234,626x = 111,755,821,401
  5. Step 5: Solve for x
    x = 111,755,821,401/234,626
  6. Step 6: Final answer
    x = 476,314.74

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.