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Finding the Third Proportional to 146,124 and 319,626

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Solution

The third proportional to 146,124 and 319,626 is: 699,137.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,124 : 319,626 = 319,626 : x
  2. Step 2: Convert to fraction form
    146,124/319,626 = 319,626/x
  3. Step 3: Cross multiply
    146,124x = 319,626 × 319,626
  4. Step 4: Simplify right side
    146,124x = 102,160,779,876
  5. Step 5: Solve for x
    x = 102,160,779,876/146,124
  6. Step 6: Final answer
    x = 699,137.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.