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Finding the Third Proportional to 146,997 and 322,017

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Solution

The third proportional to 146,997 and 322,017 is: 705,422.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,997 : 322,017 = 322,017 : x
  2. Step 2: Convert to fraction form
    146,997/322,017 = 322,017/x
  3. Step 3: Cross multiply
    146,997x = 322,017 × 322,017
  4. Step 4: Simplify right side
    146,997x = 103,694,948,289
  5. Step 5: Solve for x
    x = 103,694,948,289/146,997
  6. Step 6: Final answer
    x = 705,422.21

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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.