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Finding the Third Proportional to 179,195 and 384,950

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Solution

The third proportional to 179,195 and 384,950 is: 826,956.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,195 : 384,950 = 384,950 : x
  2. Step 2: Convert to fraction form
    179,195/384,950 = 384,950/x
  3. Step 3: Cross multiply
    179,195x = 384,950 × 384,950
  4. Step 4: Simplify right side
    179,195x = 148,186,502,500
  5. Step 5: Solve for x
    x = 148,186,502,500/179,195
  6. Step 6: Final answer
    x = 826,956.68

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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.