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Finding the Third Proportional to 187.24 and 299.11

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Solution

The third proportional to 187.24 and 299.11 is: 477.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.24 : 299.11 = 299.11 : x
  2. Step 2: Convert to fraction form
    187.24/299.11 = 299.11/x
  3. Step 3: Cross multiply
    187.24x = 299.11 × 299.11
  4. Step 4: Simplify right side
    187.24x = 89,466.42
  5. Step 5: Solve for x
    x = 89,466.42/187.24
  6. Step 6: Final answer
    x = 477.81

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.