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Finding the Third Proportional to 182,254 and 394,460

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Solution

The third proportional to 182,254 and 394,460 is: 853,746.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,254 : 394,460 = 394,460 : x
  2. Step 2: Convert to fraction form
    182,254/394,460 = 394,460/x
  3. Step 3: Cross multiply
    182,254x = 394,460 × 394,460
  4. Step 4: Simplify right side
    182,254x = 155,598,691,600
  5. Step 5: Solve for x
    x = 155,598,691,600/182,254
  6. Step 6: Final answer
    x = 853,746.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.