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Finding the Third Proportional to 147,744 and 325,872

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Solution

The third proportional to 147,744 and 325,872 is: 718,760.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,744 : 325,872 = 325,872 : x
  2. Step 2: Convert to fraction form
    147,744/325,872 = 325,872/x
  3. Step 3: Cross multiply
    147,744x = 325,872 × 325,872
  4. Step 4: Simplify right side
    147,744x = 106,192,560,384
  5. Step 5: Solve for x
    x = 106,192,560,384/147,744
  6. Step 6: Final answer
    x = 718,760.56

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.