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Finding the Third Proportional to 214.13 and 287.91

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Solution

The third proportional to 214.13 and 287.91 is: 387.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.13 : 287.91 = 287.91 : x
  2. Step 2: Convert to fraction form
    214.13/287.91 = 287.91/x
  3. Step 3: Cross multiply
    214.13x = 287.91 × 287.91
  4. Step 4: Simplify right side
    214.13x = 82,890.01
  5. Step 5: Solve for x
    x = 82,890.01/214.13
  6. Step 6: Final answer
    x = 387.11

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.