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Finding the Third Proportional to 252.09 and 547.41

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Solution

The third proportional to 252.09 and 547.41 is: 1,188.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.09 : 547.41 = 547.41 : x
  2. Step 2: Convert to fraction form
    252.09/547.41 = 547.41/x
  3. Step 3: Cross multiply
    252.09x = 547.41 × 547.41
  4. Step 4: Simplify right side
    252.09x = 299,653.60
  5. Step 5: Solve for x
    x = 299,653.60/252.09
  6. Step 6: Final answer
    x = 1,188.66

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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.