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Finding the Third Proportional to 195,074 and 419,247

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Solution

The third proportional to 195,074 and 419,247 is: 901,032.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,074 : 419,247 = 419,247 : x
  2. Step 2: Convert to fraction form
    195,074/419,247 = 419,247/x
  3. Step 3: Cross multiply
    195,074x = 419,247 × 419,247
  4. Step 4: Simplify right side
    195,074x = 175,768,047,009
  5. Step 5: Solve for x
    x = 175,768,047,009/195,074
  6. Step 6: Final answer
    x = 901,032.67

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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.