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Finding the Third Proportional to 197.50 and 420.38

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Solution

The third proportional to 197.50 and 420.38 is: 894.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.50 : 420.38 = 420.38 : x
  2. Step 2: Convert to fraction form
    197.50/420.38 = 420.38/x
  3. Step 3: Cross multiply
    197.50x = 420.38 × 420.38
  4. Step 4: Simplify right side
    197.50x = 176,715.14
  5. Step 5: Solve for x
    x = 176,715.14/197.50
  6. Step 6: Final answer
    x = 894.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.