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Finding the Third Proportional to 133,526 and 270,736

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Solution

The third proportional to 133,526 and 270,736 is: 548,941.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,526 : 270,736 = 270,736 : x
  2. Step 2: Convert to fraction form
    133,526/270,736 = 270,736/x
  3. Step 3: Cross multiply
    133,526x = 270,736 × 270,736
  4. Step 4: Simplify right side
    133,526x = 73,297,981,696
  5. Step 5: Solve for x
    x = 73,297,981,696/133,526
  6. Step 6: Final answer
    x = 548,941.64

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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.