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Finding the Third Proportional to 205.38 and 306.94

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Solution

The third proportional to 205.38 and 306.94 is: 458.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.38 : 306.94 = 306.94 : x
  2. Step 2: Convert to fraction form
    205.38/306.94 = 306.94/x
  3. Step 3: Cross multiply
    205.38x = 306.94 × 306.94
  4. Step 4: Simplify right side
    205.38x = 94,210.63
  5. Step 5: Solve for x
    x = 94,210.63/205.38
  6. Step 6: Final answer
    x = 458.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.