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Finding the Third Proportional to 334.88 and 678

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Solution

The third proportional to 334.88 and 678 is: 1,372.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.88 : 678 = 678 : x
  2. Step 2: Convert to fraction form
    334.88/678 = 678/x
  3. Step 3: Cross multiply
    334.88x = 678 × 678
  4. Step 4: Simplify right side
    334.88x = 459,684
  5. Step 5: Solve for x
    x = 459,684/334.88
  6. Step 6: Final answer
    x = 1,372.70

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.