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Finding the Third Proportional to 133,540 and 270,768

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Solution

The third proportional to 133,540 and 270,768 is: 549,013.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,540 : 270,768 = 270,768 : x
  2. Step 2: Convert to fraction form
    133,540/270,768 = 270,768/x
  3. Step 3: Cross multiply
    133,540x = 270,768 × 270,768
  4. Step 4: Simplify right side
    133,540x = 73,315,309,824
  5. Step 5: Solve for x
    x = 73,315,309,824/133,540
  6. Step 6: Final answer
    x = 549,013.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.