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Finding the Third Proportional to 214.10 and 443.39

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Solution

The third proportional to 214.10 and 443.39 is: 918.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.10 : 443.39 = 443.39 : x
  2. Step 2: Convert to fraction form
    214.10/443.39 = 443.39/x
  3. Step 3: Cross multiply
    214.10x = 443.39 × 443.39
  4. Step 4: Simplify right side
    214.10x = 196,595.25
  5. Step 5: Solve for x
    x = 196,595.25/214.10
  6. Step 6: Final answer
    x = 918.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.