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Finding the Third Proportional to 216.42 and 309.92

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Solution

The third proportional to 216.42 and 309.92 is: 443.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.42 : 309.92 = 309.92 : x
  2. Step 2: Convert to fraction form
    216.42/309.92 = 309.92/x
  3. Step 3: Cross multiply
    216.42x = 309.92 × 309.92
  4. Step 4: Simplify right side
    216.42x = 96,050.36
  5. Step 5: Solve for x
    x = 96,050.36/216.42
  6. Step 6: Final answer
    x = 443.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.