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Finding the Third Proportional to 206.46 and 318.94

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Solution

The third proportional to 206.46 and 318.94 is: 492.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.46 : 318.94 = 318.94 : x
  2. Step 2: Convert to fraction form
    206.46/318.94 = 318.94/x
  3. Step 3: Cross multiply
    206.46x = 318.94 × 318.94
  4. Step 4: Simplify right side
    206.46x = 101,721.13
  5. Step 5: Solve for x
    x = 101,721.13/206.46
  6. Step 6: Final answer
    x = 492.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.