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Finding the Third Proportional to 186.05 and 289.41

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Solution

The third proportional to 186.05 and 289.41 is: 450.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.05 : 289.41 = 289.41 : x
  2. Step 2: Convert to fraction form
    186.05/289.41 = 289.41/x
  3. Step 3: Cross multiply
    186.05x = 289.41 × 289.41
  4. Step 4: Simplify right side
    186.05x = 83,755.98
  5. Step 5: Solve for x
    x = 83,755.98/186.05
  6. Step 6: Final answer
    x = 450.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.