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Finding the Third Proportional to 251,622 and 341,928

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Solution

The third proportional to 251,622 and 341,928 is: 464,644.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,622 : 341,928 = 341,928 : x
  2. Step 2: Convert to fraction form
    251,622/341,928 = 341,928/x
  3. Step 3: Cross multiply
    251,622x = 341,928 × 341,928
  4. Step 4: Simplify right side
    251,622x = 116,914,757,184
  5. Step 5: Solve for x
    x = 116,914,757,184/251,622
  6. Step 6: Final answer
    x = 464,644.42

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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.