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Finding the Third Proportional to 171,215 and 368,782

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Solution

The third proportional to 171,215 and 368,782 is: 794,323.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,215 : 368,782 = 368,782 : x
  2. Step 2: Convert to fraction form
    171,215/368,782 = 368,782/x
  3. Step 3: Cross multiply
    171,215x = 368,782 × 368,782
  4. Step 4: Simplify right side
    171,215x = 136,000,163,524
  5. Step 5: Solve for x
    x = 136,000,163,524/171,215
  6. Step 6: Final answer
    x = 794,323.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.