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Finding the Third Proportional to 159,311 and 332,565

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Solution

The third proportional to 159,311 and 332,565 is: 694,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,311 : 332,565 = 332,565 : x
  2. Step 2: Convert to fraction form
    159,311/332,565 = 332,565/x
  3. Step 3: Cross multiply
    159,311x = 332,565 × 332,565
  4. Step 4: Simplify right side
    159,311x = 110,599,479,225
  5. Step 5: Solve for x
    x = 110,599,479,225/159,311
  6. Step 6: Final answer
    x = 694,236.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.