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Finding the Third Proportional to 218.38 and 472.94

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Solution

The third proportional to 218.38 and 472.94 is: 1,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.38 : 472.94 = 472.94 : x
  2. Step 2: Convert to fraction form
    218.38/472.94 = 472.94/x
  3. Step 3: Cross multiply
    218.38x = 472.94 × 472.94
  4. Step 4: Simplify right side
    218.38x = 223,669.88
  5. Step 5: Solve for x
    x = 223,669.88/218.38
  6. Step 6: Final answer
    x = 1,024.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.