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Finding the Third Proportional to 205.78 and 328.78

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Solution

The third proportional to 205.78 and 328.78 is: 525.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.78 : 328.78 = 328.78 : x
  2. Step 2: Convert to fraction form
    205.78/328.78 = 328.78/x
  3. Step 3: Cross multiply
    205.78x = 328.78 × 328.78
  4. Step 4: Simplify right side
    205.78x = 108,097.11
  5. Step 5: Solve for x
    x = 108,097.11/205.78
  6. Step 6: Final answer
    x = 525.30

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.