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Finding the Third Proportional to 214.92 and 315.84

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Solution

The third proportional to 214.92 and 315.84 is: 464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.92 : 315.84 = 315.84 : x
  2. Step 2: Convert to fraction form
    214.92/315.84 = 315.84/x
  3. Step 3: Cross multiply
    214.92x = 315.84 × 315.84
  4. Step 4: Simplify right side
    214.92x = 99,757.27
  5. Step 5: Solve for x
    x = 99,757.27/214.92
  6. Step 6: Final answer
    x = 464.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.