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Finding the Third Proportional to 170,768.75 and 254,767.25

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Solution

The third proportional to 170,768.75 and 254,767.25 is: 380,083.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,768.75 : 254,767.25 = 254,767.25 : x
  2. Step 2: Convert to fraction form
    170,768.75/254,767.25 = 254,767.25/x
  3. Step 3: Cross multiply
    170,768.75x = 254,767.25 × 254,767.25
  4. Step 4: Simplify right side
    170,768.75x = 64,906,351,672.56
  5. Step 5: Solve for x
    x = 64,906,351,672.56/170,768.75
  6. Step 6: Final answer
    x = 380,083.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.