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Finding the Third Proportional to 186.09 and 263.04

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Solution

The third proportional to 186.09 and 263.04 is: 371.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.09 : 263.04 = 263.04 : x
  2. Step 2: Convert to fraction form
    186.09/263.04 = 263.04/x
  3. Step 3: Cross multiply
    186.09x = 263.04 × 263.04
  4. Step 4: Simplify right side
    186.09x = 69,189.55
  5. Step 5: Solve for x
    x = 69,189.55/186.09
  6. Step 6: Final answer
    x = 371.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.