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Finding the Third Proportional to 251,586 and 341,859

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Solution

The third proportional to 251,586 and 341,859 is: 464,523.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,586 : 341,859 = 341,859 : x
  2. Step 2: Convert to fraction form
    251,586/341,859 = 341,859/x
  3. Step 3: Cross multiply
    251,586x = 341,859 × 341,859
  4. Step 4: Simplify right side
    251,586x = 116,867,575,881
  5. Step 5: Solve for x
    x = 116,867,575,881/251,586
  6. Step 6: Final answer
    x = 464,523.37

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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.