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Finding the Third Proportional to 187.97 and 282.23

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Solution

The third proportional to 187.97 and 282.23 is: 423.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.97 : 282.23 = 282.23 : x
  2. Step 2: Convert to fraction form
    187.97/282.23 = 282.23/x
  3. Step 3: Cross multiply
    187.97x = 282.23 × 282.23
  4. Step 4: Simplify right side
    187.97x = 79,656.24
  5. Step 5: Solve for x
    x = 79,656.24/187.97
  6. Step 6: Final answer
    x = 423.77

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Why These Related Problems?

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