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Finding the Third Proportional to 254.39 and 336.02

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Solution

The third proportional to 254.39 and 336.02 is: 443.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.39 : 336.02 = 336.02 : x
  2. Step 2: Convert to fraction form
    254.39/336.02 = 336.02/x
  3. Step 3: Cross multiply
    254.39x = 336.02 × 336.02
  4. Step 4: Simplify right side
    254.39x = 112,911.75
  5. Step 5: Solve for x
    x = 112,911.75/254.39
  6. Step 6: Final answer
    x = 443.85

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.