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Finding the Third Proportional to 182,102 and 386,802

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Solution

The third proportional to 182,102 and 386,802 is: 821,604.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,102 : 386,802 = 386,802 : x
  2. Step 2: Convert to fraction form
    182,102/386,802 = 386,802/x
  3. Step 3: Cross multiply
    182,102x = 386,802 × 386,802
  4. Step 4: Simplify right side
    182,102x = 149,615,787,204
  5. Step 5: Solve for x
    x = 149,615,787,204/182,102
  6. Step 6: Final answer
    x = 821,604.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.