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Finding the Third Proportional to 182,102 and 394,154

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Solution

The third proportional to 182,102 and 394,154 is: 853,133.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,102 : 394,154 = 394,154 : x
  2. Step 2: Convert to fraction form
    182,102/394,154 = 394,154/x
  3. Step 3: Cross multiply
    182,102x = 394,154 × 394,154
  4. Step 4: Simplify right side
    182,102x = 155,357,375,716
  5. Step 5: Solve for x
    x = 155,357,375,716/182,102
  6. Step 6: Final answer
    x = 853,133.82

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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.