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Finding the Third Proportional to 146,058 and 319,149

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Solution

The third proportional to 146,058 and 319,149 is: 697,367.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,058 : 319,149 = 319,149 : x
  2. Step 2: Convert to fraction form
    146,058/319,149 = 319,149/x
  3. Step 3: Cross multiply
    146,058x = 319,149 × 319,149
  4. Step 4: Simplify right side
    146,058x = 101,856,084,201
  5. Step 5: Solve for x
    x = 101,856,084,201/146,058
  6. Step 6: Final answer
    x = 697,367.38

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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.