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Finding the Third Proportional to 186,810 and 282,162

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Solution

The third proportional to 186,810 and 282,162 is: 426,183.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,810 : 282,162 = 282,162 : x
  2. Step 2: Convert to fraction form
    186,810/282,162 = 282,162/x
  3. Step 3: Cross multiply
    186,810x = 282,162 × 282,162
  4. Step 4: Simplify right side
    186,810x = 79,615,394,244
  5. Step 5: Solve for x
    x = 79,615,394,244/186,810
  6. Step 6: Final answer
    x = 426,183.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.