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Finding the Third Proportional to 162,668 and 335,380

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Solution

The third proportional to 162,668 and 335,380 is: 691,468.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,668 : 335,380 = 335,380 : x
  2. Step 2: Convert to fraction form
    162,668/335,380 = 335,380/x
  3. Step 3: Cross multiply
    162,668x = 335,380 × 335,380
  4. Step 4: Simplify right side
    162,668x = 112,479,744,400
  5. Step 5: Solve for x
    x = 112,479,744,400/162,668
  6. Step 6: Final answer
    x = 691,468.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.