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Finding the Third Proportional to 199.97 and 429.84

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Solution

The third proportional to 199.97 and 429.84 is: 923.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.97 : 429.84 = 429.84 : x
  2. Step 2: Convert to fraction form
    199.97/429.84 = 429.84/x
  3. Step 3: Cross multiply
    199.97x = 429.84 × 429.84
  4. Step 4: Simplify right side
    199.97x = 184,765.65
  5. Step 5: Solve for x
    x = 184,765.65/199.97
  6. Step 6: Final answer
    x = 923.97

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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.