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Finding the Third Proportional to 251,867 and 349,084

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Solution

The third proportional to 251,867 and 349,084 is: 483,825.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,867 : 349,084 = 349,084 : x
  2. Step 2: Convert to fraction form
    251,867/349,084 = 349,084/x
  3. Step 3: Cross multiply
    251,867x = 349,084 × 349,084
  4. Step 4: Simplify right side
    251,867x = 121,859,639,056
  5. Step 5: Solve for x
    x = 121,859,639,056/251,867
  6. Step 6: Final answer
    x = 483,825.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.