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Finding the Third Proportional to 182,000 and 400,000

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Solution

The third proportional to 182,000 and 400,000 is: 879,120.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,000 : 400,000 = 400,000 : x
  2. Step 2: Convert to fraction form
    182,000/400,000 = 400,000/x
  3. Step 3: Cross multiply
    182,000x = 400,000 × 400,000
  4. Step 4: Simplify right side
    182,000x = 160,000,000,000
  5. Step 5: Solve for x
    x = 160,000,000,000/182,000
  6. Step 6: Final answer
    x = 879,120.88

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