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Finding the Third Proportional to 170,106.75 and 397,321.88

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Solution

The third proportional to 170,106.75 and 397,321.88 is: 928,032.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,106.75 : 397,321.88 = 397,321.88 : x
  2. Step 2: Convert to fraction form
    170,106.75/397,321.88 = 397,321.88/x
  3. Step 3: Cross multiply
    170,106.75x = 397,321.88 × 397,321.88
  4. Step 4: Simplify right side
    170,106.75x = 157,864,672,353.52
  5. Step 5: Solve for x
    x = 157,864,672,353.52/170,106.75
  6. Step 6: Final answer
    x = 928,032.97

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.