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Finding the Third Proportional to 126,178 and 276,932

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Solution

The third proportional to 126,178 and 276,932 is: 607,802.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,178 : 276,932 = 276,932 : x
  2. Step 2: Convert to fraction form
    126,178/276,932 = 276,932/x
  3. Step 3: Cross multiply
    126,178x = 276,932 × 276,932
  4. Step 4: Simplify right side
    126,178x = 76,691,332,624
  5. Step 5: Solve for x
    x = 76,691,332,624/126,178
  6. Step 6: Final answer
    x = 607,802.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.