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Finding the Third Proportional to 148,296 and 319,917

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Solution

The third proportional to 148,296 and 319,917 is: 690,152.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,296 : 319,917 = 319,917 : x
  2. Step 2: Convert to fraction form
    148,296/319,917 = 319,917/x
  3. Step 3: Cross multiply
    148,296x = 319,917 × 319,917
  4. Step 4: Simplify right side
    148,296x = 102,346,886,889
  5. Step 5: Solve for x
    x = 102,346,886,889/148,296
  6. Step 6: Final answer
    x = 690,152.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.