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Finding the Third Proportional to 182,712 and 394,368

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Solution

The third proportional to 182,712 and 394,368 is: 851,209.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,712 : 394,368 = 394,368 : x
  2. Step 2: Convert to fraction form
    182,712/394,368 = 394,368/x
  3. Step 3: Cross multiply
    182,712x = 394,368 × 394,368
  4. Step 4: Simplify right side
    182,712x = 155,526,119,424
  5. Step 5: Solve for x
    x = 155,526,119,424/182,712
  6. Step 6: Final answer
    x = 851,209.11

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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.