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Finding the Third Proportional to 218.74 and 459.11

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Solution

The third proportional to 218.74 and 459.11 is: 963.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.74 : 459.11 = 459.11 : x
  2. Step 2: Convert to fraction form
    218.74/459.11 = 459.11/x
  3. Step 3: Cross multiply
    218.74x = 459.11 × 459.11
  4. Step 4: Simplify right side
    218.74x = 210,777.83
  5. Step 5: Solve for x
    x = 210,777.83/218.74
  6. Step 6: Final answer
    x = 963.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.