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Finding the Third Proportional to 206.06 and 492.94

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Solution

The third proportional to 206.06 and 492.94 is: 1,179.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.06 : 492.94 = 492.94 : x
  2. Step 2: Convert to fraction form
    206.06/492.94 = 492.94/x
  3. Step 3: Cross multiply
    206.06x = 492.94 × 492.94
  4. Step 4: Simplify right side
    206.06x = 242,987.38
  5. Step 5: Solve for x
    x = 242,987.38/206.06
  6. Step 6: Final answer
    x = 1,179.19

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.