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Finding the Third Proportional to 291.94 and 334.69

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Solution

The third proportional to 291.94 and 334.69 is: 383.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.94 : 334.69 = 334.69 : x
  2. Step 2: Convert to fraction form
    291.94/334.69 = 334.69/x
  3. Step 3: Cross multiply
    291.94x = 334.69 × 334.69
  4. Step 4: Simplify right side
    291.94x = 112,015.72
  5. Step 5: Solve for x
    x = 112,015.72/291.94
  6. Step 6: Final answer
    x = 383.70

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.