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Finding the Third Proportional to 203.67 and 306.14

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Solution

The third proportional to 203.67 and 306.14 is: 460.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.67 : 306.14 = 306.14 : x
  2. Step 2: Convert to fraction form
    203.67/306.14 = 306.14/x
  3. Step 3: Cross multiply
    203.67x = 306.14 × 306.14
  4. Step 4: Simplify right side
    203.67x = 93,722.08
  5. Step 5: Solve for x
    x = 93,722.08/203.67
  6. Step 6: Final answer
    x = 460.16

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Why These Related Problems?

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