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Finding the Third Proportional to 216.56 and 293.63

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Solution

The third proportional to 216.56 and 293.63 is: 398.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.56 : 293.63 = 293.63 : x
  2. Step 2: Convert to fraction form
    216.56/293.63 = 293.63/x
  3. Step 3: Cross multiply
    216.56x = 293.63 × 293.63
  4. Step 4: Simplify right side
    216.56x = 86,215.64
  5. Step 5: Solve for x
    x = 86,215.64/216.56
  6. Step 6: Final answer
    x = 398.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.