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Finding the Third Proportional to 251,184 and 352,036

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Solution

The third proportional to 251,184 and 352,036 is: 493,380.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,184 : 352,036 = 352,036 : x
  2. Step 2: Convert to fraction form
    251,184/352,036 = 352,036/x
  3. Step 3: Cross multiply
    251,184x = 352,036 × 352,036
  4. Step 4: Simplify right side
    251,184x = 123,929,345,296
  5. Step 5: Solve for x
    x = 123,929,345,296/251,184
  6. Step 6: Final answer
    x = 493,380.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.