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Finding the Third Proportional to 291.81 and 451.84

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Solution

The third proportional to 291.81 and 451.84 is: 699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.81 : 451.84 = 451.84 : x
  2. Step 2: Convert to fraction form
    291.81/451.84 = 451.84/x
  3. Step 3: Cross multiply
    291.81x = 451.84 × 451.84
  4. Step 4: Simplify right side
    291.81x = 204,162.77
  5. Step 5: Solve for x
    x = 204,162.77/291.81
  6. Step 6: Final answer
    x = 699.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.