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Finding the Third Proportional to 149,928 and 322,087

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Solution

The third proportional to 149,928 and 322,087 is: 691,932.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,928 : 322,087 = 322,087 : x
  2. Step 2: Convert to fraction form
    149,928/322,087 = 322,087/x
  3. Step 3: Cross multiply
    149,928x = 322,087 × 322,087
  4. Step 4: Simplify right side
    149,928x = 103,740,035,569
  5. Step 5: Solve for x
    x = 103,740,035,569/149,928
  6. Step 6: Final answer
    x = 691,932.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.