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Finding the Third Proportional to 291.88 and 451.44

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Solution

The third proportional to 291.88 and 451.44 is: 698.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.88 : 451.44 = 451.44 : x
  2. Step 2: Convert to fraction form
    291.88/451.44 = 451.44/x
  3. Step 3: Cross multiply
    291.88x = 451.44 × 451.44
  4. Step 4: Simplify right side
    291.88x = 203,795.82
  5. Step 5: Solve for x
    x = 203,795.82/291.88
  6. Step 6: Final answer
    x = 698.23

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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.