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Finding the Third Proportional to 193,201 and 419,668

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Solution

The third proportional to 193,201 and 419,668 is: 911,595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,201 : 419,668 = 419,668 : x
  2. Step 2: Convert to fraction form
    193,201/419,668 = 419,668/x
  3. Step 3: Cross multiply
    193,201x = 419,668 × 419,668
  4. Step 4: Simplify right side
    193,201x = 176,121,230,224
  5. Step 5: Solve for x
    x = 176,121,230,224/193,201
  6. Step 6: Final answer
    x = 911,595.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.