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Finding the Third Proportional to 149,966 and 324,412

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Solution

The third proportional to 149,966 and 324,412 is: 701,780.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,966 : 324,412 = 324,412 : x
  2. Step 2: Convert to fraction form
    149,966/324,412 = 324,412/x
  3. Step 3: Cross multiply
    149,966x = 324,412 × 324,412
  4. Step 4: Simplify right side
    149,966x = 105,243,145,744
  5. Step 5: Solve for x
    x = 105,243,145,744/149,966
  6. Step 6: Final answer
    x = 701,780.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.