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Finding the Third Proportional to 158,395 and 344,676

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Solution

The third proportional to 158,395 and 344,676 is: 750,033.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,395 : 344,676 = 344,676 : x
  2. Step 2: Convert to fraction form
    158,395/344,676 = 344,676/x
  3. Step 3: Cross multiply
    158,395x = 344,676 × 344,676
  4. Step 4: Simplify right side
    158,395x = 118,801,544,976
  5. Step 5: Solve for x
    x = 118,801,544,976/158,395
  6. Step 6: Final answer
    x = 750,033.43

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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.