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Finding the Third Proportional to 204.05 and 328.78

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Solution

The third proportional to 204.05 and 328.78 is: 529.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.05 : 328.78 = 328.78 : x
  2. Step 2: Convert to fraction form
    204.05/328.78 = 328.78/x
  3. Step 3: Cross multiply
    204.05x = 328.78 × 328.78
  4. Step 4: Simplify right side
    204.05x = 108,097.11
  5. Step 5: Solve for x
    x = 108,097.11/204.05
  6. Step 6: Final answer
    x = 529.77

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.