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Finding the Third Proportional to 294.19 and 451.41

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Solution

The third proportional to 294.19 and 451.41 is: 692.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.19 : 451.41 = 451.41 : x
  2. Step 2: Convert to fraction form
    294.19/451.41 = 451.41/x
  3. Step 3: Cross multiply
    294.19x = 451.41 × 451.41
  4. Step 4: Simplify right side
    294.19x = 203,767.60
  5. Step 5: Solve for x
    x = 203,767.60/294.19
  6. Step 6: Final answer
    x = 692.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.