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Finding the Third Proportional to 182,186 and 400,242

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Solution

The third proportional to 182,186 and 400,242 is: 879,286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,186 : 400,242 = 400,242 : x
  2. Step 2: Convert to fraction form
    182,186/400,242 = 400,242/x
  3. Step 3: Cross multiply
    182,186x = 400,242 × 400,242
  4. Step 4: Simplify right side
    182,186x = 160,193,658,564
  5. Step 5: Solve for x
    x = 160,193,658,564/182,186
  6. Step 6: Final answer
    x = 879,286.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.