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Finding the Third Proportional to 146,974 and 219,889

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Solution

The third proportional to 146,974 and 219,889 is: 328,977.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,974 : 219,889 = 219,889 : x
  2. Step 2: Convert to fraction form
    146,974/219,889 = 219,889/x
  3. Step 3: Cross multiply
    146,974x = 219,889 × 219,889
  4. Step 4: Simplify right side
    146,974x = 48,351,172,321
  5. Step 5: Solve for x
    x = 48,351,172,321/146,974
  6. Step 6: Final answer
    x = 328,977.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.