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Finding the Third Proportional to 165,674.50 and 255,027

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Solution

The third proportional to 165,674.50 and 255,027 is: 392,569.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,674.50 : 255,027 = 255,027 : x
  2. Step 2: Convert to fraction form
    165,674.50/255,027 = 255,027/x
  3. Step 3: Cross multiply
    165,674.50x = 255,027 × 255,027
  4. Step 4: Simplify right side
    165,674.50x = 65,038,770,729
  5. Step 5: Solve for x
    x = 65,038,770,729/165,674.50
  6. Step 6: Final answer
    x = 392,569.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.