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Finding the Third Proportional to 174,039 and 276,932

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Solution

The third proportional to 174,039 and 276,932 is: 440,656.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,039 : 276,932 = 276,932 : x
  2. Step 2: Convert to fraction form
    174,039/276,932 = 276,932/x
  3. Step 3: Cross multiply
    174,039x = 276,932 × 276,932
  4. Step 4: Simplify right side
    174,039x = 76,691,332,624
  5. Step 5: Solve for x
    x = 76,691,332,624/174,039
  6. Step 6: Final answer
    x = 440,656.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.