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Finding the Third Proportional to 120.94 and 288.42

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Solution

The third proportional to 120.94 and 288.42 is: 687.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.94 : 288.42 = 288.42 : x
  2. Step 2: Convert to fraction form
    120.94/288.42 = 288.42/x
  3. Step 3: Cross multiply
    120.94x = 288.42 × 288.42
  4. Step 4: Simplify right side
    120.94x = 83,187.18
  5. Step 5: Solve for x
    x = 83,187.18/120.94
  6. Step 6: Final answer
    x = 687.85

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.