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Finding the Third Proportional to 251,456 and 335,704

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Solution

The third proportional to 251,456 and 335,704 is: 448,178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,456 : 335,704 = 335,704 : x
  2. Step 2: Convert to fraction form
    251,456/335,704 = 335,704/x
  3. Step 3: Cross multiply
    251,456x = 335,704 × 335,704
  4. Step 4: Simplify right side
    251,456x = 112,697,175,616
  5. Step 5: Solve for x
    x = 112,697,175,616/251,456
  6. Step 6: Final answer
    x = 448,178.51

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.