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Finding the Third Proportional to 170,793 and 255,399.75

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Solution

The third proportional to 170,793 and 255,399.75 is: 381,918.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,793 : 255,399.75 = 255,399.75 : x
  2. Step 2: Convert to fraction form
    170,793/255,399.75 = 255,399.75/x
  3. Step 3: Cross multiply
    170,793x = 255,399.75 × 255,399.75
  4. Step 4: Simplify right side
    170,793x = 65,229,032,300.06
  5. Step 5: Solve for x
    x = 65,229,032,300.06/170,793
  6. Step 6: Final answer
    x = 381,918.65

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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.