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Finding the Third Proportional to 214.13 and 466.88

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Solution

The third proportional to 214.13 and 466.88 is: 1,017.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.13 : 466.88 = 466.88 : x
  2. Step 2: Convert to fraction form
    214.13/466.88 = 466.88/x
  3. Step 3: Cross multiply
    214.13x = 466.88 × 466.88
  4. Step 4: Simplify right side
    214.13x = 217,972.27
  5. Step 5: Solve for x
    x = 217,972.27/214.13
  6. Step 6: Final answer
    x = 1,017.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.