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Finding the Third Proportional to 197,856 and 276,768

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Solution

The third proportional to 197,856 and 276,768 is: 387,152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,856 : 276,768 = 276,768 : x
  2. Step 2: Convert to fraction form
    197,856/276,768 = 276,768/x
  3. Step 3: Cross multiply
    197,856x = 276,768 × 276,768
  4. Step 4: Simplify right side
    197,856x = 76,600,525,824
  5. Step 5: Solve for x
    x = 76,600,525,824/197,856
  6. Step 6: Final answer
    x = 387,152.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.