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Finding the Third Proportional to 251,696 and 380,768

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Solution

The third proportional to 251,696 and 380,768 is: 576,029.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,696 : 380,768 = 380,768 : x
  2. Step 2: Convert to fraction form
    251,696/380,768 = 380,768/x
  3. Step 3: Cross multiply
    251,696x = 380,768 × 380,768
  4. Step 4: Simplify right side
    251,696x = 144,984,269,824
  5. Step 5: Solve for x
    x = 144,984,269,824/251,696
  6. Step 6: Final answer
    x = 576,029.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.