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Finding the Third Proportional to 161,956 and 334,286

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Solution

The third proportional to 161,956 and 334,286 is: 689,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,956 : 334,286 = 334,286 : x
  2. Step 2: Convert to fraction form
    161,956/334,286 = 334,286/x
  3. Step 3: Cross multiply
    161,956x = 334,286 × 334,286
  4. Step 4: Simplify right side
    161,956x = 111,747,129,796
  5. Step 5: Solve for x
    x = 111,747,129,796/161,956
  6. Step 6: Final answer
    x = 689,984.50

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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.