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Finding the Third Proportional to 251.94 and 549.94

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Solution

The third proportional to 251.94 and 549.94 is: 1,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.94 : 549.94 = 549.94 : x
  2. Step 2: Convert to fraction form
    251.94/549.94 = 549.94/x
  3. Step 3: Cross multiply
    251.94x = 549.94 × 549.94
  4. Step 4: Simplify right side
    251.94x = 302,431.25
  5. Step 5: Solve for x
    x = 302,431.25/251.94
  6. Step 6: Final answer
    x = 1,200.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.