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Finding the Third Proportional to 205.14 and 442.65

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Solution

The third proportional to 205.14 and 442.65 is: 955.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.14 : 442.65 = 442.65 : x
  2. Step 2: Convert to fraction form
    205.14/442.65 = 442.65/x
  3. Step 3: Cross multiply
    205.14x = 442.65 × 442.65
  4. Step 4: Simplify right side
    205.14x = 195,941.10
  5. Step 5: Solve for x
    x = 195,941.10/205.14
  6. Step 6: Final answer
    x = 955.17

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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.