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Finding the Third Proportional to 186.26 and 391.71

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Solution

The third proportional to 186.26 and 391.71 is: 823.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.26 : 391.71 = 391.71 : x
  2. Step 2: Convert to fraction form
    186.26/391.71 = 391.71/x
  3. Step 3: Cross multiply
    186.26x = 391.71 × 391.71
  4. Step 4: Simplify right side
    186.26x = 153,437.46
  5. Step 5: Solve for x
    x = 153,437.46/186.26
  6. Step 6: Final answer
    x = 823.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.