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Finding the Third Proportional to 182,246 and 394,444

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Solution

The third proportional to 182,246 and 394,444 is: 853,714.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,246 : 394,444 = 394,444 : x
  2. Step 2: Convert to fraction form
    182,246/394,444 = 394,444/x
  3. Step 3: Cross multiply
    182,246x = 394,444 × 394,444
  4. Step 4: Simplify right side
    182,246x = 155,586,069,136
  5. Step 5: Solve for x
    x = 155,586,069,136/182,246
  6. Step 6: Final answer
    x = 853,714.59

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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.