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Finding the Third Proportional to 247.64 and 523.83

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Solution

The third proportional to 247.64 and 523.83 is: 1,108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.64 : 523.83 = 523.83 : x
  2. Step 2: Convert to fraction form
    247.64/523.83 = 523.83/x
  3. Step 3: Cross multiply
    247.64x = 523.83 × 523.83
  4. Step 4: Simplify right side
    247.64x = 274,395.90
  5. Step 5: Solve for x
    x = 274,395.90/247.64
  6. Step 6: Final answer
    x = 1,108.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.