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Finding the Third Proportional to 187.31 and 283.22

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Solution

The third proportional to 187.31 and 283.22 is: 428.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.31 : 283.22 = 283.22 : x
  2. Step 2: Convert to fraction form
    187.31/283.22 = 283.22/x
  3. Step 3: Cross multiply
    187.31x = 283.22 × 283.22
  4. Step 4: Simplify right side
    187.31x = 80,212.86
  5. Step 5: Solve for x
    x = 80,212.86/187.31
  6. Step 6: Final answer
    x = 428.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.