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Finding the Third Proportional to 206.94 and 497.47

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Solution

The third proportional to 206.94 and 497.47 is: 1,195.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.94 : 497.47 = 497.47 : x
  2. Step 2: Convert to fraction form
    206.94/497.47 = 497.47/x
  3. Step 3: Cross multiply
    206.94x = 497.47 × 497.47
  4. Step 4: Simplify right side
    206.94x = 247,475.16
  5. Step 5: Solve for x
    x = 247,475.16/206.94
  6. Step 6: Final answer
    x = 1,195.89

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.