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Finding the Third Proportional to 251,563 and 341,824

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Solution

The third proportional to 251,563 and 341,824 is: 464,470.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,563 : 341,824 = 341,824 : x
  2. Step 2: Convert to fraction form
    251,563/341,824 = 341,824/x
  3. Step 3: Cross multiply
    251,563x = 341,824 × 341,824
  4. Step 4: Simplify right side
    251,563x = 116,843,646,976
  5. Step 5: Solve for x
    x = 116,843,646,976/251,563
  6. Step 6: Final answer
    x = 464,470.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.