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Finding the Third Proportional to 214.13 and 437.16

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Solution

The third proportional to 214.13 and 437.16 is: 892.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.13 : 437.16 = 437.16 : x
  2. Step 2: Convert to fraction form
    214.13/437.16 = 437.16/x
  3. Step 3: Cross multiply
    214.13x = 437.16 × 437.16
  4. Step 4: Simplify right side
    214.13x = 191,105.59
  5. Step 5: Solve for x
    x = 191,105.59/214.13
  6. Step 6: Final answer
    x = 892.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.