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Finding the Third Proportional to 170,363.25 and 255,544.88

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Solution

The third proportional to 170,363.25 and 255,544.88 is: 383,317.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,363.25 : 255,544.88 = 255,544.88 : x
  2. Step 2: Convert to fraction form
    170,363.25/255,544.88 = 255,544.88/x
  3. Step 3: Cross multiply
    170,363.25x = 255,544.88 × 255,544.88
  4. Step 4: Simplify right side
    170,363.25x = 65,303,183,138.77
  5. Step 5: Solve for x
    x = 65,303,183,138.77/170,363.25
  6. Step 6: Final answer
    x = 383,317.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.