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Finding the Third Proportional to 148,299 and 319,927

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Solution

The third proportional to 148,299 and 319,927 is: 690,181.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,299 : 319,927 = 319,927 : x
  2. Step 2: Convert to fraction form
    148,299/319,927 = 319,927/x
  3. Step 3: Cross multiply
    148,299x = 319,927 × 319,927
  4. Step 4: Simplify right side
    148,299x = 102,353,285,329
  5. Step 5: Solve for x
    x = 102,353,285,329/148,299
  6. Step 6: Final answer
    x = 690,181.90

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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.