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Finding the Third Proportional to 162,000 and 332,016

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Solution

The third proportional to 162,000 and 332,016 is: 680,460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,000 : 332,016 = 332,016 : x
  2. Step 2: Convert to fraction form
    162,000/332,016 = 332,016/x
  3. Step 3: Cross multiply
    162,000x = 332,016 × 332,016
  4. Step 4: Simplify right side
    162,000x = 110,234,624,256
  5. Step 5: Solve for x
    x = 110,234,624,256/162,000
  6. Step 6: Final answer
    x = 680,460.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.