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Finding the Third Proportional to 126,816 and 274,768

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Solution

The third proportional to 126,816 and 274,768 is: 595,330.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,816 : 274,768 = 274,768 : x
  2. Step 2: Convert to fraction form
    126,816/274,768 = 274,768/x
  3. Step 3: Cross multiply
    126,816x = 274,768 × 274,768
  4. Step 4: Simplify right side
    126,816x = 75,497,453,824
  5. Step 5: Solve for x
    x = 75,497,453,824/126,816
  6. Step 6: Final answer
    x = 595,330.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.