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Finding the Third Proportional to 162,569 and 327,244

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Solution

The third proportional to 162,569 and 327,244 is: 658,727.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,569 : 327,244 = 327,244 : x
  2. Step 2: Convert to fraction form
    162,569/327,244 = 327,244/x
  3. Step 3: Cross multiply
    162,569x = 327,244 × 327,244
  4. Step 4: Simplify right side
    162,569x = 107,088,635,536
  5. Step 5: Solve for x
    x = 107,088,635,536/162,569
  6. Step 6: Final answer
    x = 658,727.28

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.