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Finding the Third Proportional to 146 and 222.88

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Solution

The third proportional to 146 and 222.88 is: 340.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    146 : 222.88 = 222.88 : x
  2. Step 2: Convert to fraction form
    146/222.88 = 222.88/x
  3. Step 3: Cross multiply
    146x = 222.88 × 222.88
  4. Step 4: Simplify right side
    146x = 49,673.27
  5. Step 5: Solve for x
    x = 49,673.27/146
  6. Step 6: Final answer
    x = 340.23

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