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Finding the Third Proportional to 205.38 and 455.88

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Solution

The third proportional to 205.38 and 455.88 is: 1,011.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.38 : 455.88 = 455.88 : x
  2. Step 2: Convert to fraction form
    205.38/455.88 = 455.88/x
  3. Step 3: Cross multiply
    205.38x = 455.88 × 455.88
  4. Step 4: Simplify right side
    205.38x = 207,822.02
  5. Step 5: Solve for x
    x = 207,822.02/205.38
  6. Step 6: Final answer
    x = 1,011.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.