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Finding the Third Proportional to 186.25 and 283.19

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Solution

The third proportional to 186.25 and 283.19 is: 430.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.25 : 283.19 = 283.19 : x
  2. Step 2: Convert to fraction form
    186.25/283.19 = 283.19/x
  3. Step 3: Cross multiply
    186.25x = 283.19 × 283.19
  4. Step 4: Simplify right side
    186.25x = 80,195.16
  5. Step 5: Solve for x
    x = 80,195.16/186.25
  6. Step 6: Final answer
    x = 430.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.