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Finding the Third Proportional to 162,771 and 335,286

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Solution

The third proportional to 162,771 and 335,286 is: 690,643.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,771 : 335,286 = 335,286 : x
  2. Step 2: Convert to fraction form
    162,771/335,286 = 335,286/x
  3. Step 3: Cross multiply
    162,771x = 335,286 × 335,286
  4. Step 4: Simplify right side
    162,771x = 112,416,701,796
  5. Step 5: Solve for x
    x = 112,416,701,796/162,771
  6. Step 6: Final answer
    x = 690,643.31

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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.