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Finding the Third Proportional to 221.88 and 435.13

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Solution

The third proportional to 221.88 and 435.13 is: 853.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.88 : 435.13 = 435.13 : x
  2. Step 2: Convert to fraction form
    221.88/435.13 = 435.13/x
  3. Step 3: Cross multiply
    221.88x = 435.13 × 435.13
  4. Step 4: Simplify right side
    221.88x = 189,333.77
  5. Step 5: Solve for x
    x = 189,333.77/221.88
  6. Step 6: Final answer
    x = 853.34

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.