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Finding the Third Proportional to 251,872 and 380,232

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Solution

The third proportional to 251,872 and 380,232 is: 574,007.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,872 : 380,232 = 380,232 : x
  2. Step 2: Convert to fraction form
    251,872/380,232 = 380,232/x
  3. Step 3: Cross multiply
    251,872x = 380,232 × 380,232
  4. Step 4: Simplify right side
    251,872x = 144,576,373,824
  5. Step 5: Solve for x
    x = 144,576,373,824/251,872
  6. Step 6: Final answer
    x = 574,007.33

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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.