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Finding the Third Proportional to 311.34 and 469.55

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Solution

The third proportional to 311.34 and 469.55 is: 708.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.34 : 469.55 = 469.55 : x
  2. Step 2: Convert to fraction form
    311.34/469.55 = 469.55/x
  3. Step 3: Cross multiply
    311.34x = 469.55 × 469.55
  4. Step 4: Simplify right side
    311.34x = 220,474.27
  5. Step 5: Solve for x
    x = 220,474.27/311.34
  6. Step 6: Final answer
    x = 708.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.