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Finding the Third Proportional to 100.41 and 206.72

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Solution

The third proportional to 100.41 and 206.72 is: 425.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.41 : 206.72 = 206.72 : x
  2. Step 2: Convert to fraction form
    100.41/206.72 = 206.72/x
  3. Step 3: Cross multiply
    100.41x = 206.72 × 206.72
  4. Step 4: Simplify right side
    100.41x = 42,732.64
  5. Step 5: Solve for x
    x = 42,732.64/100.41
  6. Step 6: Final answer
    x = 425.60

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.