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Finding the Third Proportional to 251,471 and 341,728

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Solution

The third proportional to 251,471 and 341,728 is: 464,379.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,471 : 341,728 = 341,728 : x
  2. Step 2: Convert to fraction form
    251,471/341,728 = 341,728/x
  3. Step 3: Cross multiply
    251,471x = 341,728 × 341,728
  4. Step 4: Simplify right side
    251,471x = 116,778,025,984
  5. Step 5: Solve for x
    x = 116,778,025,984/251,471
  6. Step 6: Final answer
    x = 464,379.69

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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.