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Finding the Third Proportional to 182,237 and 394,426

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Solution

The third proportional to 182,237 and 394,426 is: 853,678.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,237 : 394,426 = 394,426 : x
  2. Step 2: Convert to fraction form
    182,237/394,426 = 394,426/x
  3. Step 3: Cross multiply
    182,237x = 394,426 × 394,426
  4. Step 4: Simplify right side
    182,237x = 155,571,869,476
  5. Step 5: Solve for x
    x = 155,571,869,476/182,237
  6. Step 6: Final answer
    x = 853,678.83

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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.