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Finding the Third Proportional to 205.17 and 457.17

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Solution

The third proportional to 205.17 and 457.17 is: 1,018.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.17 : 457.17 = 457.17 : x
  2. Step 2: Convert to fraction form
    205.17/457.17 = 457.17/x
  3. Step 3: Cross multiply
    205.17x = 457.17 × 457.17
  4. Step 4: Simplify right side
    205.17x = 209,006.12
  5. Step 5: Solve for x
    x = 209,006.12/205.17
  6. Step 6: Final answer
    x = 1,018.69

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.