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Finding the Third Proportional to 251,624 and 367,059

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Solution

The third proportional to 251,624 and 367,059 is: 535,450.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,624 : 367,059 = 367,059 : x
  2. Step 2: Convert to fraction form
    251,624/367,059 = 367,059/x
  3. Step 3: Cross multiply
    251,624x = 367,059 × 367,059
  4. Step 4: Simplify right side
    251,624x = 134,732,309,481
  5. Step 5: Solve for x
    x = 134,732,309,481/251,624
  6. Step 6: Final answer
    x = 535,450.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.