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Finding the Third Proportional to 155,540 and 326,744

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Solution

The third proportional to 155,540 and 326,744 is: 686,393.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,540 : 326,744 = 326,744 : x
  2. Step 2: Convert to fraction form
    155,540/326,744 = 326,744/x
  3. Step 3: Cross multiply
    155,540x = 326,744 × 326,744
  4. Step 4: Simplify right side
    155,540x = 106,761,641,536
  5. Step 5: Solve for x
    x = 106,761,641,536/155,540
  6. Step 6: Final answer
    x = 686,393.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.