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Finding the Third Proportional to 214.88 and 468.94

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Solution

The third proportional to 214.88 and 468.94 is: 1,023.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.88 : 468.94 = 468.94 : x
  2. Step 2: Convert to fraction form
    214.88/468.94 = 468.94/x
  3. Step 3: Cross multiply
    214.88x = 468.94 × 468.94
  4. Step 4: Simplify right side
    214.88x = 219,902.38
  5. Step 5: Solve for x
    x = 219,902.38/214.88
  6. Step 6: Final answer
    x = 1,023.40

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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.