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Finding the Third Proportional to 175,686 and 263,049

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Solution

The third proportional to 175,686 and 263,049 is: 393,854.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,686 : 263,049 = 263,049 : x
  2. Step 2: Convert to fraction form
    175,686/263,049 = 263,049/x
  3. Step 3: Cross multiply
    175,686x = 263,049 × 263,049
  4. Step 4: Simplify right side
    175,686x = 69,194,776,401
  5. Step 5: Solve for x
    x = 69,194,776,401/175,686
  6. Step 6: Final answer
    x = 393,854.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.