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Finding the Third Proportional to 146,610 and 219,834

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Solution

The third proportional to 146,610 and 219,834 is: 329,629.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,610 : 219,834 = 219,834 : x
  2. Step 2: Convert to fraction form
    146,610/219,834 = 219,834/x
  3. Step 3: Cross multiply
    146,610x = 219,834 × 219,834
  4. Step 4: Simplify right side
    146,610x = 48,326,987,556
  5. Step 5: Solve for x
    x = 48,326,987,556/146,610
  6. Step 6: Final answer
    x = 329,629.54

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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.