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Finding the Third Proportional to 201.98 and 302.70

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Solution

The third proportional to 201.98 and 302.70 is: 453.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.98 : 302.70 = 302.70 : x
  2. Step 2: Convert to fraction form
    201.98/302.70 = 302.70/x
  3. Step 3: Cross multiply
    201.98x = 302.70 × 302.70
  4. Step 4: Simplify right side
    201.98x = 91,624.45
  5. Step 5: Solve for x
    x = 91,624.45/201.98
  6. Step 6: Final answer
    x = 453.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.