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Finding the Third Proportional to 226.76 and 368.61

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Solution

The third proportional to 226.76 and 368.61 is: 599.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.76 : 368.61 = 368.61 : x
  2. Step 2: Convert to fraction form
    226.76/368.61 = 368.61/x
  3. Step 3: Cross multiply
    226.76x = 368.61 × 368.61
  4. Step 4: Simplify right side
    226.76x = 135,875.75
  5. Step 5: Solve for x
    x = 135,875.75/226.76
  6. Step 6: Final answer
    x = 599.21

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.