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Finding the Third Proportional to 182,613 and 394,386

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Solution

The third proportional to 182,613 and 394,386 is: 851,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,613 : 394,386 = 394,386 : x
  2. Step 2: Convert to fraction form
    182,613/394,386 = 394,386/x
  3. Step 3: Cross multiply
    182,613x = 394,386 × 394,386
  4. Step 4: Simplify right side
    182,613x = 155,540,316,996
  5. Step 5: Solve for x
    x = 155,540,316,996/182,613
  6. Step 6: Final answer
    x = 851,748.33

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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.