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Finding the Third Proportional to 146,996 and 322,015

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Solution

The third proportional to 146,996 and 322,015 is: 705,418.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,996 : 322,015 = 322,015 : x
  2. Step 2: Convert to fraction form
    146,996/322,015 = 322,015/x
  3. Step 3: Cross multiply
    146,996x = 322,015 × 322,015
  4. Step 4: Simplify right side
    146,996x = 103,693,660,225
  5. Step 5: Solve for x
    x = 103,693,660,225/146,996
  6. Step 6: Final answer
    x = 705,418.24

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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.