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Finding the Third Proportional to 251,992 and 352,764

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Solution

The third proportional to 251,992 and 352,764 is: 493,834.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,992 : 352,764 = 352,764 : x
  2. Step 2: Convert to fraction form
    251,992/352,764 = 352,764/x
  3. Step 3: Cross multiply
    251,992x = 352,764 × 352,764
  4. Step 4: Simplify right side
    251,992x = 124,442,439,696
  5. Step 5: Solve for x
    x = 124,442,439,696/251,992
  6. Step 6: Final answer
    x = 493,834.88

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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.