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Finding the Third Proportional to 161,962 and 334,296

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Solution

The third proportional to 161,962 and 334,296 is: 690,000.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,962 : 334,296 = 334,296 : x
  2. Step 2: Convert to fraction form
    161,962/334,296 = 334,296/x
  3. Step 3: Cross multiply
    161,962x = 334,296 × 334,296
  4. Step 4: Simplify right side
    161,962x = 111,753,815,616
  5. Step 5: Solve for x
    x = 111,753,815,616/161,962
  6. Step 6: Final answer
    x = 690,000.22

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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.