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Finding the Third Proportional to 158,767 and 225,676

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Solution

The third proportional to 158,767 and 225,676 is: 320,782.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,767 : 225,676 = 225,676 : x
  2. Step 2: Convert to fraction form
    158,767/225,676 = 225,676/x
  3. Step 3: Cross multiply
    158,767x = 225,676 × 225,676
  4. Step 4: Simplify right side
    158,767x = 50,929,656,976
  5. Step 5: Solve for x
    x = 50,929,656,976/158,767
  6. Step 6: Final answer
    x = 320,782.39

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.