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Finding the Third Proportional to 182,112 and 273,696

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Solution

The third proportional to 182,112 and 273,696 is: 411,337.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,112 : 273,696 = 273,696 : x
  2. Step 2: Convert to fraction form
    182,112/273,696 = 273,696/x
  3. Step 3: Cross multiply
    182,112x = 273,696 × 273,696
  4. Step 4: Simplify right side
    182,112x = 74,909,500,416
  5. Step 5: Solve for x
    x = 74,909,500,416/182,112
  6. Step 6: Final answer
    x = 411,337.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.