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Finding the Third Proportional to 197.04 and 429.52

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Solution

The third proportional to 197.04 and 429.52 is: 936.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.04 : 429.52 = 429.52 : x
  2. Step 2: Convert to fraction form
    197.04/429.52 = 429.52/x
  3. Step 3: Cross multiply
    197.04x = 429.52 × 429.52
  4. Step 4: Simplify right side
    197.04x = 184,483.67
  5. Step 5: Solve for x
    x = 184,483.67/197.04
  6. Step 6: Final answer
    x = 936.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.