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Finding the Third Proportional to 94.59 and 204.28

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Solution

The third proportional to 94.59 and 204.28 is: 441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.59 : 204.28 = 204.28 : x
  2. Step 2: Convert to fraction form
    94.59/204.28 = 204.28/x
  3. Step 3: Cross multiply
    94.59x = 204.28 × 204.28
  4. Step 4: Simplify right side
    94.59x = 41,730.83
  5. Step 5: Solve for x
    x = 41,730.83/94.59
  6. Step 6: Final answer
    x = 441.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.