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Finding the Third Proportional to 146,997 and 322,005

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Solution

The third proportional to 146,997 and 322,005 is: 705,369.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,997 : 322,005 = 322,005 : x
  2. Step 2: Convert to fraction form
    146,997/322,005 = 322,005/x
  3. Step 3: Cross multiply
    146,997x = 322,005 × 322,005
  4. Step 4: Simplify right side
    146,997x = 103,687,220,025
  5. Step 5: Solve for x
    x = 103,687,220,025/146,997
  6. Step 6: Final answer
    x = 705,369.63

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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.