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Finding the Third Proportional to 133,506 and 270,696

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Solution

The third proportional to 133,506 and 270,696 is: 548,861.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,506 : 270,696 = 270,696 : x
  2. Step 2: Convert to fraction form
    133,506/270,696 = 270,696/x
  3. Step 3: Cross multiply
    133,506x = 270,696 × 270,696
  4. Step 4: Simplify right side
    133,506x = 73,276,324,416
  5. Step 5: Solve for x
    x = 73,276,324,416/133,506
  6. Step 6: Final answer
    x = 548,861.66

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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.