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Finding the Third Proportional to 148,956 and 319,234

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Solution

The third proportional to 148,956 and 319,234 is: 684,164.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,956 : 319,234 = 319,234 : x
  2. Step 2: Convert to fraction form
    148,956/319,234 = 319,234/x
  3. Step 3: Cross multiply
    148,956x = 319,234 × 319,234
  4. Step 4: Simplify right side
    148,956x = 101,910,346,756
  5. Step 5: Solve for x
    x = 101,910,346,756/148,956
  6. Step 6: Final answer
    x = 684,164.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.