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Finding the Third Proportional to 214.13 and 338.91

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Solution

The third proportional to 214.13 and 338.91 is: 536.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.13 : 338.91 = 338.91 : x
  2. Step 2: Convert to fraction form
    214.13/338.91 = 338.91/x
  3. Step 3: Cross multiply
    214.13x = 338.91 × 338.91
  4. Step 4: Simplify right side
    214.13x = 114,857.45
  5. Step 5: Solve for x
    x = 114,857.45/214.13
  6. Step 6: Final answer
    x = 536.40

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.