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Finding the Third Proportional to 149,524 and 326,568

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Solution

The third proportional to 149,524 and 326,568 is: 713,241.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,524 : 326,568 = 326,568 : x
  2. Step 2: Convert to fraction form
    149,524/326,568 = 326,568/x
  3. Step 3: Cross multiply
    149,524x = 326,568 × 326,568
  4. Step 4: Simplify right side
    149,524x = 106,646,658,624
  5. Step 5: Solve for x
    x = 106,646,658,624/149,524
  6. Step 6: Final answer
    x = 713,241.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.