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Finding the Third Proportional to 142.99 and 214.43

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Solution

The third proportional to 142.99 and 214.43 is: 321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.99 : 214.43 = 214.43 : x
  2. Step 2: Convert to fraction form
    142.99/214.43 = 214.43/x
  3. Step 3: Cross multiply
    142.99x = 214.43 × 214.43
  4. Step 4: Simplify right side
    142.99x = 45,980.09
  5. Step 5: Solve for x
    x = 45,980.09/142.99
  6. Step 6: Final answer
    x = 321.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.