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Finding the Third Proportional to 204.63 and 306.19

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Solution

The third proportional to 204.63 and 306.19 is: 458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.63 : 306.19 = 306.19 : x
  2. Step 2: Convert to fraction form
    204.63/306.19 = 306.19/x
  3. Step 3: Cross multiply
    204.63x = 306.19 × 306.19
  4. Step 4: Simplify right side
    204.63x = 93,750.79
  5. Step 5: Solve for x
    x = 93,750.79/204.63
  6. Step 6: Final answer
    x = 458.16

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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.