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Finding the Third Proportional to 314 and 467

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Solution

The third proportional to 314 and 467 is: 694.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314 : 467 = 467 : x
  2. Step 2: Convert to fraction form
    314/467 = 467/x
  3. Step 3: Cross multiply
    314x = 467 × 467
  4. Step 4: Simplify right side
    314x = 218,089
  5. Step 5: Solve for x
    x = 218,089/314
  6. Step 6: Final answer
    x = 694.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.