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Finding the Third Proportional to 204.19 and 306.28

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Solution

The third proportional to 204.19 and 306.28 is: 459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.19 : 306.28 = 306.28 : x
  2. Step 2: Convert to fraction form
    204.19/306.28 = 306.28/x
  3. Step 3: Cross multiply
    204.19x = 306.28 × 306.28
  4. Step 4: Simplify right side
    204.19x = 93,808.20
  5. Step 5: Solve for x
    x = 93,808.20/204.19
  6. Step 6: Final answer
    x = 459.42

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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.