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Finding the Third Proportional to 244.31 and 529.41

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Solution

The third proportional to 244.31 and 529.41 is: 1,147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.31 : 529.41 = 529.41 : x
  2. Step 2: Convert to fraction form
    244.31/529.41 = 529.41/x
  3. Step 3: Cross multiply
    244.31x = 529.41 × 529.41
  4. Step 4: Simplify right side
    244.31x = 280,270.98
  5. Step 5: Solve for x
    x = 280,270.98/244.31
  6. Step 6: Final answer
    x = 1,147.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.