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Finding the Third Proportional to 149,664 and 325,512

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Solution

The third proportional to 149,664 and 325,512 is: 707,972.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,664 : 325,512 = 325,512 : x
  2. Step 2: Convert to fraction form
    149,664/325,512 = 325,512/x
  3. Step 3: Cross multiply
    149,664x = 325,512 × 325,512
  4. Step 4: Simplify right side
    149,664x = 105,958,062,144
  5. Step 5: Solve for x
    x = 105,958,062,144/149,664
  6. Step 6: Final answer
    x = 707,972.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.