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Finding the Third Proportional to 170,676 and 245,847

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Solution

The third proportional to 170,676 and 245,847 is: 354,125.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,676 : 245,847 = 245,847 : x
  2. Step 2: Convert to fraction form
    170,676/245,847 = 245,847/x
  3. Step 3: Cross multiply
    170,676x = 245,847 × 245,847
  4. Step 4: Simplify right side
    170,676x = 60,440,747,409
  5. Step 5: Solve for x
    x = 60,440,747,409/170,676
  6. Step 6: Final answer
    x = 354,125.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.