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Finding the Third Proportional to 247.43 and 533.46

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Solution

The third proportional to 247.43 and 533.46 is: 1,150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.43 : 533.46 = 533.46 : x
  2. Step 2: Convert to fraction form
    247.43/533.46 = 533.46/x
  3. Step 3: Cross multiply
    247.43x = 533.46 × 533.46
  4. Step 4: Simplify right side
    247.43x = 284,580.57
  5. Step 5: Solve for x
    x = 284,580.57/247.43
  6. Step 6: Final answer
    x = 1,150.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.