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Finding the Third Proportional to 181,654 and 283,519

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Solution

The third proportional to 181,654 and 283,519 is: 442,506.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,654 : 283,519 = 283,519 : x
  2. Step 2: Convert to fraction form
    181,654/283,519 = 283,519/x
  3. Step 3: Cross multiply
    181,654x = 283,519 × 283,519
  4. Step 4: Simplify right side
    181,654x = 80,383,023,361
  5. Step 5: Solve for x
    x = 80,383,023,361/181,654
  6. Step 6: Final answer
    x = 442,506.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.