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Finding the Third Proportional to 182,296 and 400,436

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Solution

The third proportional to 182,296 and 400,436 is: 879,607.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,296 : 400,436 = 400,436 : x
  2. Step 2: Convert to fraction form
    182,296/400,436 = 400,436/x
  3. Step 3: Cross multiply
    182,296x = 400,436 × 400,436
  4. Step 4: Simplify right side
    182,296x = 160,348,990,096
  5. Step 5: Solve for x
    x = 160,348,990,096/182,296
  6. Step 6: Final answer
    x = 879,607.84

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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.