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Finding the Third Proportional to 199.55 and 429.26

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Solution

The third proportional to 199.55 and 429.26 is: 923.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.55 : 429.26 = 429.26 : x
  2. Step 2: Convert to fraction form
    199.55/429.26 = 429.26/x
  3. Step 3: Cross multiply
    199.55x = 429.26 × 429.26
  4. Step 4: Simplify right side
    199.55x = 184,262.27
  5. Step 5: Solve for x
    x = 184,262.27/199.55
  6. Step 6: Final answer
    x = 923.40

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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.